Barry eager to discuss new terms with Man City
The midfielder is entering the final year of his current deal.
He said: "I'm coming into the last year, and it will be a case of the new manager coming in and having a chat with the people upstairs, and discussing it.
"I'm hoping we can have a meeting pretty soon. I would love to stay.
"I'm 32 but I feel pretty fit and I'm on the back of a good season, so hopefully the club will have seen that. A one-year extension seems to be the way football has been going, so if that is what is being offered, I will definitely think about accepting it. But we will have to wait and see.
"They have told the players the new manager will be announced in between 10 days and two weeks, and then we will get some phone call or conversation, and it will go from there."