Cavani's representative Gennaro Famiglietti claims Napoli have not agreed a deal with anyone and that his client is happy at the club.
However Famiglietti also issued a challenge to Napoli to strengthen the team to satisfy Cavani's ambitions.
Famiglietti said on Italian radio station Kiss Kiss, said: "Cavani loves the club and the city.
"We have already said that he is ready to stay if the squad can become stronger and new signings can arrive.
"Few clubs can pay the price for Cavani and this will determine his future. There is no agreement with anybody. The player is ambitious and wants to win titles with Napoli."