FIFA Executive Committee member Constant Omari has rejected a suggestion from International Olympic Committee (IOC) president Thomas Bach that world football's governing body needs an external presidential candidate.
After Sepp Blatter and Michel Platini were suspended last week, IOC president Bach said that an external contender was required to help lead reforms and restore credibility.
Along with Prince Ali Bin Al Hussein of Jordan, UEFA president Platini is a candidate to replace Blatter as the head of FIFA, but the former France international's bid for election in February will be the focal point when UEFA's Executive Committee meets in Nyon on Thursday.
The 54 members of UEFA, the administrative body for European football, are also discussing whether Platini is still a suitable option for the top job in world football.
Last week, Platini and Blatter were provisionally suspended for 90 days by FIFA's Ethics Committee after they became of interest to a Swiss criminal investigation.
Swiss authorities are looking into a payment made by FIFA to Platini in 2011 for work carried out at least nine years earlier.
On Wednesday, The Guardian quoted sources as saying that the former Juventus midfielder had agreed to back Blatter in the 2011 FIFA presidential election shortly after receiving the £1.35 million payment.
With FIFA hoping that football will remain part of the Olympics, Bach urged the organisation to accelerate reforms and suggested that an external candidate for the presidency could help restore stability.
Omari, who was recently appointed to FIFA's executive and reform committees, did not appreciate the IOC's intervention.
He rejects the idea of taking advice from the IOC, pointing out that it had had similar problems to deal with after a bribes-for-votes scandal involving the 2002 Salt Lake City Winter Olympics.
"We have no lessons to take from these people," Omari told French sports paper L'Equipe. "Their reaction is very inappropriate. When they had the same problems, I don't think a single FIFA executive told them to go and seek an external figure for their organisation.
"This demand amounts to an insult to the football family."
Omari, who also serves as president of the Democratic Republic of Congo FA, said Bach and the IOC should stick to looking after their own affairs.
"It underestimates our ability to manage the crisis internally," he said. "FIFA has people who are sufficiently equipped intellectually to find solutions... we have people who have ideas, are open to change and have an ability to innovate."
Meanwhile, former Brazil striker Romario, now a senator in his homeland, believes a "domino effect" has started in football.
The ex-Barcelona and PSV player, 49, recently had a plan to create a congressional panel to investigate corruption in sport approved by the Brazilian senate.
He said that every Brazilian should be grateful to the FBI for their part in exposing corruption within FIFA, the South American football federation (CONMEBOL) and the Brazilian FA (CBF).
"At the moment, we have one former president of the CBF [Jose Maria Marin] in jail and his successor [Marco Polo Del Nero] has a big chance of meeting the same fate," Romario told L'Equipe.
"I think that the domino effect has started. It's up to us to take over from now on. I hope that all the executives who have harmed football will fall.
"It's going to take several years to clean up all of that. It's going to be long but it's possible."
However, Romario says that Platini's chances of becoming FIFA president next year have suffered from his association with other individuals.
"I don't see a single credible name among the candidates," he said. "He collaborated for many years with this mafia within FIFA.
"I'm not saying he's corrupt but he could have been contaminated by the system."