City had appeared frontrunners for Cavani's services but Napoli president Aurelio De Laurentiis revealed last week they had baulked at his £54million price tag.
Speaking after Uruguay's Confederations Cup defeat to Italy, Cavani said: "I want to talk as soon as possible with president De Laurentiis.
"We must clear this (situation up) ourselves. I'll talk with him, as it's done between men, really soon.
"Right now, I'm at Napoli and I'm very proud to be there. If I leave one day, I'll be ready to move to a bigger club. We'll see."
Source: Manchester City MAD