The 23-year-old made the move to Naples on loan in July, where he will face Liverpool in the Europa League group stages at the San Paolo in October.
"An offer from Liverpool of 20million euros for Cavani? These are only fantasies, he has got no offers," the player's agent, Claudio Annellucci, told tuttomercatoweb.
"Edinson is very well in Naples, he is a player of the Napoli.
"We're just at the third match of the championship, there is no problem and this is not yet time to market him.