But Dimitri Seluk says Toure is "very upset" the club's owners failed to acknowledge him personally and says he may leave over their lack of respect.
"None of them shook his hand on his birthday. It's really sick," he said.
"He got a cake but when it was Roberto Carlos's birthday, the president of Anzhi gave him a Bugatti," Seluk told BBC Sport.
"I don't expect City to present Yaya with a Bugatti, we only asked that they shook his hand and said 'we congratulate you'. It is the minimum they must do when it is his birthday and the squad is all together.
"The club's owners ate a 100kg cake after winning the Premier League this season but when they and the players were all together, none of them shook his hand on his birthday. It shows they don't care about him.
"Of course Yaya is upset about this. It is his birthday and nobody said anything or shook his hand, so he does not feel comfortable.
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"If this happened to you as a journalist in the BBC and nobody shakes your hand, you will say bye-bye and go to work for somebody else. It is normal."
"No. Money is not important. He has enough money.
"The most important thing is a human relationship and maybe this is his opportunity for Yaya to find that. If City don't respect him, then, easy, Yaya will leave. No problem.
"It is more important he plays for a club that respects him more than having a few thousand pounds added to his salary.
"I have spoken to him about leaving and we will see what happens, but, at the moment, Yaya is really upset."
It is not the first time either Toure or his agent have claimed the player does not get the respect he deserves.
In a recent interview for the BBC, Toure felt he was not regarded as one of the best players in the world because he is from Africa.
"To be honest, proper recognition has only come from the fans," he said. "I don't want to be hard and I don't want to be negative, but I want to be honest."
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