The Bosnian striker is desperate for regular first team action.
"Anything is possible," Dzeko told The People. "I wouldn't rule out leaving now or in the summer, but I'm trying not to think about it.
"It is up to me to try to use the opportunities I am being given at City, everything else is beyond my powers at the moment.
"We have four strikers and I suppose we can bring in another one, but only after one of us leaves the club."