Tevez displayed a sign bearing the words 'RIP Fergie' during the open-top bus parade through Manchester to celebrate City's Barclays Premier League title win on Monday.
On arriving back in his native Argentina for his summer break, Tevez was quizzed on the issue by reporters.
The 28-year-old told them, in an interview carried on Argentinian website ole.com.ar: "It seems like Ferguson is the president of England.
"Every time he speaks badly about a player or says terrible things about me, nobody says that he has to apologise.
"[But] when someone comes out with a joke or banter, you have to say sorry - but I don't say sorry."