The-24-year-old has been linked with a move back to Serie A in January - just six months after leaving Fiorentina for City - with Juventus and Inter Milan both reported to be interested in his services.
Injuries have restricted Jovetic to just three Premier League appearances for Manuel Pellegrini's side so far this season, but agent Fali Ramadani says that the Montenegro international is ready to return to the City team.
"The only problems he has had are the physical ones," he told Calciomercato.
"Now he has fully recovered from his injury and will return next week to train with the team.
"Even with coach Pellegrini, everything is okay, there is no problem.
"If there should be problems when he is in shape, we'll see what to do. But right now there is absolutely nothing."
Asked if a return to Italy could be on the cards, Ramadani said: "No, there is absolutely nothing.
"Nobody called me also because everyone knows that it is unimaginable that a player who arrived a few months ago can already move."