In 2011-12 he went AWOL from the club, returning to his native Argentina as he looked to force through a transfer, but he later returned to see out the rest of the season.
With 2012-13 now in the rearview mirror, will this summer be the year he moves on? Big changes are expected at City, especially after Roberto Mancini's departure as manager.
Here's a breakdown of Tevez's vital statistics and where he might end up, should he depart the Etihad Stadium.
CONTRACT SITUATION: The Argentinian's contract will expire at the end of 2013-14, leaving him free to leave Manchester City for nothing.
CURRENT CAMPAIGN: Premier League: 34 games, 11 goals, eight assists; Community Shield: one game, one goal; FA Cup: Six games, five goals, two assists; Capital One Cup: one game; Champions League: Five games.
SCOUTING GUIDE: Tevez is a tenacious competitor. It's often a cheap slight on his character and ability from opposing fans and managers to suggest that his best quality is that very tenacity, but he brings a lot more to the table.
He is skillful when running at defenders, forcing them into conceding free kicks and penalties, while his movement off the ball is also impressive. He has a knack for arriving unnoticed in dangerous positions and often evades the attention of his marker. His energy allows City to press high up the pitch when needed, and he often forces his opponents into mistakes.
WHERE NEXT: A report from The Mirror suggests that Tevez is interested in extending his contract at City beyond the end of next season, but given his chequered history, the club may be looking to cash in now while they have the chance.