Dzeko has previously enjoyed a successful period at Manchester City, with the Bosnian netting a total of 50 goals in 130 top-flight appearances.
The 32-year-old is currently settled in Italy with Roma, but the player has indicated that he would give thought to joining another club in England should an opportunity arise.
Dzeko told Sky Sports News: "Regarding the Premier League, maybe it's too late. You never know.
"I had four-and-a-half great years there, and had fun every minute of every game. I love the Premier League and England, so we'll see. At the moment I'm happy in Rome."
Dzeko was heavily linked with a switch to Chelsea at the start of 2018, but a transfer failed to materialise and the striker helped Roma reach the Champions League semi-finals.