The Bosnian striker has reportedly grown frustrated at his inability to hold down a regular place in the City side.
"We will see," the forward said, when asked if he will be leaving the Etihad Stadium in the summer. "Everything is open."
Dzeko, a £27 million signing from Wolfsburg in January 2011, was also non-committal when asked if he wants to stay.
"I don't know," he added. "Everyone is hoping. Everyone wants to play."
Dzeko has proved prolific as a replacement in the last two seasons and could be on the bench again at Wembley.
"That's my job to score goals, if I come on after 60 minutes or if I start," he added.