Reports are suggesting Toure could be set for a move away in the summer, with the likes of Paris St Germain and Inter Milan - managed by his former City boss Roberto Mancini - being mentioned in reports as possible destinations.
Ivory Coast international Toure was quoted on Tuesday as saying he is open to ''new challenges'' and that he will not stay at a club simply to collect wages.
Those comments came two days after his agent Dimitri Seluk was quoted as saying "two of the biggest clubs" had asked him about Toure's availability, adding: "If City want Yaya to leave, they should come out and say so."
And, quoted by Sky Sports News on Wednesday, Seluk said: "We have had different offers for Yaya but we must speak to Manchester City.
"People think he will stay because of money but we don't care about money
If Man City don't want him - no problem.
"I want someone to say that they want Yaya to stay at Manchester City
Yaya is a legend at the club
All the supporters like him, he's helped them make history."
City manager Manuel Pellegrini, whose side are set to finish this season trophyless, insisted at a pre-match press conference last Friday that Toure - winner of major silverware four times with the club - would ''continue playing here because he is a very important player''.
Pellegrini also admitted he had been disappointed by the 31-year-old's form this term, but backed Toure, who has two years left on his current contract and captained the side in Sunday's 2-0 win over West Ham, to come good again.
In the quotes on Tuesday, Toure said: "I owe it to the City fans to fight until the end of my career at this club
''My decisions will not be affected by changes in management, but more by the challenges that will be offered to me.''
There have been questions over Pellegrini's future, and Seluk was quoted on Sunday calling the Chilean a ''weak manager'', as well as criticising City's chief executive Ferran Soriano and director of football Txiki Begiristain.
When asked immediately after the West Ham win about that interview, Pellegrini said he did not want to comment.
City, likewise, declined to comment on the latest quotes from Seluk when contacted by Press Association Sport on Wednesday
Source : PA
Source: PA