Sam Allardyce is believed to be considering legal action after agents' chief Mel Stein said the English Football Association could have dug deeper for information before appointing him as England boss.
Association of Football Agents founder Stein said the FA should have asked his colleagues about Allardyce, who would have forecast "a storm" around a manager who is "not Mother Teresa".
He compared the matter to the BBC's failure to deal with rumours surrounding disgraced TV host Jimmy Savile.
In 2006, Allardyce denied allegations regarding illegal payments made in a BBC Panorama program, and came into the England job with a clean record as a manager.
There is no suggestion the 61-year-old former Bolton and West Ham boss had a history of breaching rules, but Stein said football agents could have offered more background information about his character.
Speaking at the Leaders Sport Business Summit in London, Stein said: "I'm not suggesting in any shape, form or size that we should be involved in appointing an England manager, but just like Jimmy Savile at the BBC, when people came out of the woodwork afterwards saying 'well everybody knew about Jimmy Savile', if anybody had spoken to any of us about their last appointment (Allardyce), we would've said 'you know what, he's not Mother Teresa'.
"'He's a very good manager, but there is some kind of a storm brewing'.
"They (the FA) only needed to look at the Panorama programme to know that.
"And I'm not saying he's guilty of anything, but clearly if you were looking for somebody who was going to not cause you any problem, probably Allardyce was not your man.
"He may well have been the best manager for the job - and that's a decision to make."
Former Blackburn, Newcastle and Sunderland boss Allardyce was filmed by undercover reporters making controversial remarks about a variety of subjects, including side work and explaining how to bypass FA rules on third-party player ownership.