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.
Back in his native Argentina, Tevez told www.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."
The meaning behind the banner could well be in reference to Ferguson`s famous response to a 2009 question as to whether or not United would ever be underdogs against City.
"Not in my lifetime," the Scot said.
City were quick to issue a statement on Monday expressing "sincerest apologies" to Ferguson and accepting that Tevez, in taking the placard from a fan, had made a "significant error of judgement".
Tevez himself expressed regret in his own statement, saying he got "carried away in the excitement of the moment" and did not mean any disrespect to his former United boss.
The forward played under Ferguson for two years at Old Trafford before leaving for City in 2009.
In March Ferguson suggested City were desperate in recalling Tevez following the forward's infamous stand-off with the club, which saw him spend more than three months in Argentina on unauthorised leave.
Ferguson was responding to remarks by City's football development executive Patrick Vieira, who said Paul Scholes' return from retirement for United seemed a sign of weakness.