Bassett says Villas-Boas must be allowed to be boss and have total control over a dressing room packed with the powerful voices of John Terry, Frank Lampard, Didier Drogba and Petr Cech.
"If Roman doesn't get behind him, or get totally out of his way, then there could be trouble," Bassett told the Daily Star Sunday. "I wish him well - and I hope he has everything he wants written down in his contract."
Bassett won seven promotions throughout his career and added: "Andre must have final say on tactics, buying and training methods. Without having that written down and insisting on it, his future is a £39million pay-off.
"The players at Chelsea must know of his record and be impressed. But players also spot weaknesses quickly and go for it. It doesn't matter if you are 33 or 40. They will find you out.
"As an outsider, you always wonder if player-power had anything to do with Scolari and Ancelotti going.
"You hear rumours about players having direct access to the boardroom, even Abramovich. This must now all stop. I took over a Wimbledon dressing room that had strong characters like Alan Cork, Wally Downes and Dave Beasant.
"You must have enough in your background and knowledge and character to win them over. I took my FA Prelim badge at 22 and full badge at 27. Roy Hodgson did the same."