The 26-year-old striker has been linked with a move to the Premier League after enjoying an impressive season in which he has scored 27 goals for the Serie A club.
Napoli president Aurelio De Laurentiis has already put a £60million price-tag on Cavani's but a further stumbling block could be the player's love for the club, according to Gennaro Famiglietti.
"Cavani loves the club and the city," said Famiglietti, the Uruguayan's agent, quoted in the Daily Mirror.
"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."