Denayer, who made his international debut last month, may get the opportunity of another campaign at Parkhead while there is continued speculation over the future of Etihad boss Manuel Pellegrini.
He said: “City want Jason back for pre-season to see what kind of level he is at. They want to get the group together and maybe he will be loaned out again or he will stay. That is up to Jason and the manager.
Denayer remained non-committal on the prospect of an extended loan deal and added: “I only try to focus my mind on what is happening at Celtic and try to do my best for them.
“I haven’t spoken to Patrick Vieira or anyone at City, but I hope they are happy with my progress.
“I feel that I have improved a lot from the start of the season, I’m a more mature player and my style of play is also different from when I first arrived.
“Some of the strikers I come up against in Scotland are big and strong.
