The Frenchman has been an outspoken critic of his former club this season, saying that the club have lost their identity recently.
''It's not the right man for the right woman,'' the maverick figure commented at a supporters event, filmed by the Republik of Mancunia.
''It's the way you play. You can lose games but you take risks. You lose against Juventus and they have 70 per cent possession of the ball at Old Trafford. Could you imagine that with [Sir Alex] Ferguson on the bench?''
Cantona pointed to the examples of other top clubs who have given jobs to former players, suggesting that this could see the 'Red Devils' get back to their former heights.
''We see Zinedine Zidane, who was an ex-player of Real Madrid, never managed any team before and he became the manager of Real Madrid. They gave him a chance,' Cantona said.
''Pep Guardiola was the same for Barcelona. Antonio Conte at Juventus, Carlo Ancelotti at Milan. They were all ex-players at these clubs and they were given the chance and they won so many things for them.
''At United, they never give a chance to a player who knows the club from the inside, who knows the identity and philosophy of the club.''
However Cantona was quick to say that he would not be the man for the job. He continued:
''I don't want people to think I'm saying this because I want to be manager of Manchester United. It's just the truth. Ryan Giggs? Any player who wants to be the manager they should give them the chance.''