City boss Pep Guardiola has said he will not pick Toure until his agent Dimitri Seluk apologises for criticising the decision to leave him out of the Champions League squad.
"I wish to apologise - on behalf of myself and those who represent me," said the Ivory Coast player.
The 33-year-old added that he wants "to help City succeed further".
"Those statements do not represent my views on the club or the people who work there," added Toure on Friday, who has not played for City since 24 August.
"I have nothing but respect for Manchester City and only wish the best for the football club.
"I am immensely proud to have played a part in the club's history and want to help City succeed further. I live to play football and entertain the fans.
"On that note, I would like to thank all of the fans for their messages through this difficult period. This means a great deal to me and my family."