Mann insisted his old friend Sir Mark Thatcher, son of former British Prime Minister Margaret Thatcher, was “part of the team”.
Sir Mark was fined and received a suspended sentence in South Africa for his involvement in the coup.
He has always claimed he was an unwitting conspirator and that as far as he knew, he was helping finance a new company - an air ambulance business in West Africa.
In response to Mann’s allegations, Sir Mark told Channel 4 News: “Simon Mann is an old friend of mine for whom I have the utmost sympathy throughout this whole ghastly process.
“Clearly what’s happening to him now is very worrying and he must be frightened and acutely distressed, poor man.
“I have nothing to add to the statements that I gave to the relevant authorities in 2004, which are a matter of public record.”
Mann was jailed in Zimbabwe after arriving from South Africa on board a plane carrying weapons in 2004.
Up until the interview, he had maintained he was going to help guard a mine in Democratic Republic of Congo.
Last month, he was extradited from Zimbabwe to Equatorial Guinea without the knowledge of his lawyers. During the interview, he described it as an “illegal violent abduction”.
He went on to apologise for his role in the plot.
“I regret it all terribly,” he said. “You go tiger shooting, and you don’t expect the tiger to win.
“I’ve been saying how sorry I am to everybody for four years now actually. I’m going to write it on my forehead - sorry.”
Equatorial Guinea, an oil-rich former Spanish colony, has been ruled by President Obiang since he seized power from his uncle in a coup in 1979.
Corruption watchdog Transparency International has put the tiny state in its top 10 corrupt states.

The Supreme Court decision came after prosecutors appealed against the not guilty verdicts handed down by a Moscow court.
The process of the trial was strongly criticised by Russian journalists and human rights groups.
Even so, Politkovskaya’s supporters have always said that even guilty verdicts would not have been satisfactory.
None of the three was accused of being the actual killer.
The suspected gunman, Rustam Makhmudov - brother of two of the other suspects - has still not been caught. And campaigners say it is those who ordered the killing that they really want to see in the dock.
Politkovskaya, who gained prominence by exposing human rights abuses by the Russian army in Chechnya, was shot dead in the entrance hall of her apartment building in Moscow in 2006.
The Supreme Court ordered the retrial to take place at the same military court in Moscow where the first trial was held.
A lawyer for the defendants described the decision as “political” and said he would contest it in the European Court of Human Rights.
Meanwhile the lawyer representing Anna Politskovskaya’s family also denounced the Supreme Court’s ruling, saying they had not been seeking to overturn the acquittal.
The family had agreed that the prosecution had failed to put together a convincing case against the three men.

The use of aspirin to ward off heart attacks and strokes in those who do not have obvious cardiovascular disease should be abandoned, researchers say.
The Drugs and Therapeutics Bulletin (DTB) study says aspirin can cause serious internal bleeding and does not prevent cardiovascular disease deaths.
It says doctors should review all patients currently taking the drug for prevention of heart disease.
The Royal College of GPs says it supports the DTB’s recommendations.
Low-dose aspirin is widely used to prevent further episodes of cardiovascular disease in people who have already had problems such as a heart attack or stroke.
This approach - known as secondary prevention - is well-established and has confirmed benefits.
But many thousands of people in the UK are believed to be taking aspirin as a protective measure before they have any heart symptoms.
But the DTB said a recent analysis of six controlled trials involving a total of 95,000 patients published in the journal the Lancet does not back up the routine use of aspirin in these patients because of the risk of serious gastrointestinal bleeds and the negligible impact it has on curbing death rates.
Dr Ike Ikeanacho, editor of the DTB, said: “Current evidence for primary prevention suggests the benefits and harms of aspirin in this setting may be more finely balanced than previously thought, even in individuals estimated to be at high risk of experiencing cardiovascular events, including those with diabetes or elevated blood pressure.”

The FSA wants to make it much harder for you to be repossessed as its research has found that some lenders are moving far too quickly to take back properties.
It already has a list of steps that lenders can take to help those in arrears.
It now wants to make those measures compulsory for lenders, a such as steering people towards the various government schemes that have been devised to help borrowers in distress.
The FSA wants to stop lenders levying unfair administration charges on those who have had difficulty making repayments, but are now keeping to an arrangement to repay these arrears.
Five firms are already likely to face penalties for poor arrears and repossession handling, and for excessive arrears charges.
The proposals do not say that lenders will be prevented from repossessing a property if they fail to keep to these new rules.
Instead, a lender breaking the new rules on dealing with borrowers in arrears could face sanctions by the FSA which could include a fine or a demand to clean up their act.
Other matters for discussion include a possible limit on the amount of equity that can be withdrawn from somebody’s home, and greater assessment of whether people taking interest-only mortgages can afford them.

Various figures have shown that the property market has been recovering slowly from the dramatic slump it suffered in the aftermath banking crisis and the credit crunch.
This latest data shows that gross mortgage lending totalled an estimated £12.5bn in September, up from £12.3 billion in August. There had been a slight dip in August from July.
Mr Samter added that wholesale markets had started to “thaw”, having been totally frozen by the credit crunch when lenders were unwilling and unable to lend to each other.
This could give some of the biggest mortgage providers access to more funds to lend to potential homeowners. Unemployment data was also not as bad as many economists expected, which could also help a “gradual recovery”.
“While the number out of work is rising, it is possible that the peak may be rather lower and earlier than previously expected,” he said.
“A lower likelihood of being made unemployed should boost household sentiment.”
Other economic data suggested that interest rates would remain low for some time, he said, although first-time buyers remain unlikely to be able to take advantage of the relatively cheap mortgages on offer if they are unable to raise a large deposit.

Approval for a major upgrade of pylons through the Cairngorms would blight the face of the national park, according to a new campaign group.
Cairngorms Revolt Against Pylons has urged the Scottish Executive not to “rubber stamp” the 67m-tall pylons.
The route, which cuts through the area where the BBC’s Monarch of the Glen is filmed, is part of a planned 180-mile upgrade between Beauly and Denny.
An executive spokesman said it had not yet received a formal application.
The campaign group said the electricity transmission pylons were each the size of the Statue of Liberty.
has also called on energy firm Scottish and Southern Energy to bury the line underground where it passes through Cairngorm National Park.
Spokesman Roy Tylden-Wright said: “If the Scottish Executive rubber stamp these plans it will be failing in its duty to protect Scotland’s second national park.
“Imagine how America’s image abroad would suffer if the government agreed to the construction of monster pylons through Yellowstone National Park?”
Mr Tylden-Wright said that at twice the height of existing pylons in the Highlands the planned route would dominate the park entrances at Kinlochlaggan, Drumochter Pass and the Corrieyairack Pass.
He said this was one of Europe’s last wild landscapes and warned the project could have a disastrous impact on tourism.

SNP MSP Keith Brown said the cross-party inquiry at Westminster had recommended not building near to power lines, and added that other countries already adopted a precautionary approach to the issue.
Dr Simpson and Mr Brown spoke out at Holyrood’s Public Petitions Committee, where colleagues were considering a petition calling on MSPs to urge ministers to acknowledge the potential health hazards associations with long-term exposure to electromagnetic fields from high voltage power lines.
The petition, from the campaign group Stirling Before Pylons, is also demanding planning regulations be brought in as a matter of urgency.
Committee member Nigel Don said the Scottish Government had to look beyond the existing evidence on the issue.
He said: “Research over a period of time builds up information from which eventually even the most blind can deduce what is totally obvious.
“The risk is governments and other organisations wait until the evidence is totally overwhelming.
“We should look at how evidence is building up.”
The North East Scotland MSP added: “If you hang around long enough, enough evidence will be built up, by which time it may be too late.
“What we need to encourage the government to do is not look at the evidence we have at the moment, but to where it might lead and look over the horizon.”
Committee convener Frank McAveety said the committee would send a “strong letter” to the Scottish Government on the issue.

The European Commission has unveiled measures aimed at protecting sharks, many of which are in sharp decline.
The proposals would close loopholes in current shark finning regulations, cut catches of endangered species and set quotas according to scientific advice.
About half of ocean-going shark species are threatened with extinction.
Conservation groups have given a mixed reaction to the commission’s proposals, which now go to the European Parliament and Council of Ministers for approval.
“The plan is a great step forwards for the conservation of sharks in European waters and beyond,” said Sonja Fordham, policy director of the Shark Alliance, a coalition of organisations representing conservation, science and recreational interests.
The commitments to science-based fishing limits, endangered species protection, and a stronger finning ban are essential to securing a brighter future for some of Europe’s most vulnerable and neglected animals.”
The regulations will also apply to sharks’ close relatives, skates and rays.
But the Madrid-based conservation group Oceana said the proposals did not go far enough.
“We have got a vague document which does not contain measures to achieve the goal of conservation and sustainable management of sharks,” said the group’s director of investigations, Ricardo Aguilar.
“Key omissions include a commitment to the precautionary approach, and integration with existing EU and global environmental measures that aim to protect threatened sharks and their habitats.”
Among other things, Oceana had been lobbying for a much tighter timescale on the introduction of these controls, some of which may not come into force for four years - and then only if the European Parliament and Council of Ministers agree.

Police investigating the death of two people found in a burning car have said identifying them may be difficult because of the ferocity of the fire.
The two bodies were discovered inside the car in a lay-by on the A47 near Earl Shilton, Leicestershire, late on Tuesday evening.
A police cordon has been set up and forensic examinations are taking place.
Det Supt Chris Thomas said they are not actively seeking any other people in connection with the deaths.
Police were unable to say whether the victims were male or female - or even adults.
The car will also need further examination to establish its make and model.
A Leicestershire Police spokeswoman said: “Because of the ferocity of the fire, identification of the deceased and determining what happened might take some time.
“We are keeping an open mind. It is too early to speculate.”
Jim Driver, who owns a pet food business near the scene, said he believed there might have been witnesses to the incident.
He said: “There’s often quite a lot of traffic around there. Lorries park here so the drivers may have seen what happened.”
Police, who were called to the scenes by motorists who saw the fire, have described the deaths as suspicious.

One of The Gambia’s leading journalists was shot dead as he drove home from work shortly after midnight.
Deyda Hydara, 58, editor of The Point newspaper and correspondent for the AFP news agency was shot three times in the head, his colleague said.
He was sharply critical of a tough new press law which was passed this week.
The private media has complained that the government is trying to muzzle it. In April, the printing press of another paper were burnt down.
The Independent accused state security agents of being behind the attack - a charge denied by the authorities.
The police say they have opened an investigation into the killing, in which two women travelling in Mr Hydara’s car were also injured.
“He has been very critical of the government and very vocal in opposition to these repressive laws but that does not mean that he, of all people, should have been the target of an assassin’s bullet,” said the head of the Gambian Press Union, Demba Jawo.
The law was passed on Tuesday. It provides for jail terms for those found guilty of libel or sedition and the seizure of the homes of the editors of libellous newspapers.
The government said the law was needed to make journalists more responsible.