However, while acknowledging that Conte "likes" the Bosnia and Herzegovina forward, Irfan Redzepagic does not expect any movement during the January transfer window.
Redzepagic told Romagiallorossa: "No, I don't know anything about this. I have no information to that effect. Dzeko is already a Roma player, you know that.
"Look, every time we talk about Dzeko the names of clubs like Chelsea, Chinese clubs, Mexican clubs come up. These are just rumours. The truth is that Dzeko wants to stay at Roma.
"Have I spoken to Conte or Chelsea? My role means I can't reveal certain transfer market dynamics. I understand the question, but I have a very specific role. All I can say is that Conte likes Dzeko. But then who doesn't like Edin?"
Dzeko has scored 12 goals in all competitions this season, two of which came against Chelsea in the Champions League in October.