The Uruguay international, who recently netted his 100th goal in the Italian top flight, has been in fine form this season, and is eager to give the Partenopei faithful a reason to cheer.
"Having scored 100 goals is something that excites me and is a boost. I want to leave my mark on the game and make history," Cavani was quoted as saying by Corriere dello Sport.
He added, "I have to thank my team-mates and the club, though, as I owe a lot to them.
"We wouldn't be where we are now without their support and faith. I think we can beat anyone and I will continue to fight for something important right until the end.
"Juventus' five-point lead is not insurmountable. No team can always keep dominating. I want to bring joy to the fans and there's only one thing to do just that..."
Napoli currently sits joint-second in Serie A, with 43 points from 21 games.