The 25-year-old is believed to have attracted the attention of a number of top European clubs, including Manchester City and Chelsea, after another excellent campaign in Serie A.
Scudetto winners Juventus have reportedly made an offer for the forward, but Napoli sporting director Riccardo Bigon insists the player is staying put.
"Cavani is not for sale and he doesn't want to move from Naples," Bigon said to Corriere dello Sport.
"I reiterate that Cavani will remain at Napoli."
The South American was instrumental in Napoli's fifth-place finish in the 2011/12 season, scoring 23 goals in 35 league appearances.
Moreover, he helped the Azzurri outfit win the Coppa Italia last month - Napoli's first silverware in 22 years.
Napoli slapped a 100million euros price tag on Cavani last year and the player is under contract with the club until June 2015.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!