The Argentinian striker handed in a formal transfer request on December 11, but the club rejected it.
A statement on the club’s website read: “Manchester City can confirm to its fans that “clear the air” talks have been held with Carlos Tevez.
“During the meeting Carlos expressed his absolute commitment to the club and formally withdrew his transfer request.
“Carlos’ contract remains unchanged and both Carlos and the football club are keen to focus on the opportunities that lie ahead.”
Manager Roberto Mancini added: “Carlos is a world-class player whose contribution since he joined the club has been invaluable.
“I am pleased that we are now able to focus on pure football matters and to be able to look forward to Carlos continuing to play a significant role in the club’s progress.”