The Premier League leaders are hardly lacking in creative talent, but have been linked with the Brazil international, who has already said in the past that he has been expecting Pep Guardiola to call him.
Speaking to Gazzetta dello Sport, Fred said: "A friend gave me the news saying that City and Guardiola were interested in me. I'm happy to be so well known in Europe.
"But I renewed with Shakhtar for five years. If there is any interest I will talk with my agent, and the family. But I'm calm."
"At the exit of the locker room, he stopped me and said we had a good game, as they are a very difficult team to beat," Fred added.
"But he did not ask me to play with him. However, I confess, I wait impatiently for his call to arrive now.
"I think I would grow a lot with him, England is the best league in the world, and I've always dreamed of playing there."