Cavani has been linked with a move away from Naples for some time and the Uruguayan refused to rule out leaving the Stadio San Paolo in the summer.
However, the 25-year-old is said to be keen to be a part of the Napoli's rise.
"I do not want to answer to the question about whether Cavani will stay or go," Claudio Anellucci told Canale 34.
"For every player it is important to have the team's future very clear, but financial matters are also important.
"Napoli have a serious project and any player would like to be part of it. Cavani has a contract and he wants to respect it."
Cavani, whose contract expires in 2016, has scored 29 goals in all competitions this season.