The younger brother of City skipper Kolo has been linked with the Eastlands club recently but it seems as though there is no chance he will end up there because he wants to sign with a bigger club.
His agent, Dimitri Seluk, said that although Toure wants to join a club bigger than Man City, he is unsure of where he wants to go but knows he wants better treatment at the Nou Camp.
Toure has been used sparingly in Barcelona's first team in recent times and Seluk says he doesn't understand why the Catalan club were so determined to re-sign the Ivory Coast midfielder.
"We understand that in any big team there will be rotation, but why is it always the same player that is rotated? How come [Seydou] Keita has played 10 games and Yaya four?" said Seluk.
"A few months ago we renewed the contract with Barcelona, despite having offers from some very big clubs.
"My question now is why did Barca want to renew Yaya's deal? To have him on the bench? I do not understand.
"But we respect the decisions made by the coach and will not say anything against what he decides."