The Bosnia-Herzegovina striker has found his first-team opportunities limited this season but has still managed to net 10 goals for the Citizens, including three in his last two outings.
Dzeko has been linked with a surprise move to Premier League rivals Arsenal in recent weeks.
And the 26-year-old has refused to rule out the possibility of leaving Eastlands – either this month or in the summer.
“Anything is possible,” Dzeko told the Daily Mirror. “I wouldn’t rule out leaving now or in 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.”
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