Kokcu is interesting Arsenal and had been tipped to move to the Londoners this summer.
RTV Rijnmond says Barca are now chasing a deal for the Turkey international, who has a contract with Feyenoord to 2023.
Kokcu said, "I want to make the best of it next season and want to be as fit as possible when the competition starts again. For now I'm only working with Feyenoord.
"I have a contract until 2023, so I'm not in a hurry.
"To be honest, it doesn't really matter to me. My father and my agent are busy with that. I try to isolate myself from that. That works fine. Fortunately I am a footballer and not an agent."