Zinchenko made the decision to reject a move away from the Etihad Stadium during the summer, but the Ukraine international has made just two appearances in all competitions this season.
The 21-year-old could be allowed to leave on a temporary basis at the start of 2019, and the player's representative has hinted that a move to Italy could be in the offing.
Prudnikov told Radio Marte: "We are always open to proposals coming from Italy. Napoli showed interest both over the summer and the year before, but never managed to find an agreement with Manchester City.
"I met with [Napoli director Cristiano] Giuntoli and we laid down the foundations of a deal with Zinchenko, but the two clubs could not agree on a fee. We'd be ready to discuss it again, though."
Zinchenko has made a total of 16 outings for City since the start of the last campaign.