The 23-year old Montenegrin striker has previously been on City's radar but Gregucci has revealed that the reigning English champions are still showing interest.
"It seems clear to me that not only the City but many clubs like Jovetic, because he is one of the most talented players on the European scene," Gregucci told Radio Toscana.
"(Berardi) has good qualities. He's young, we must see how he will grow. City is always attentive to young world talents and he is among them," he added.