The Uruguay forward believes anyone would have aspirations of joining the world's biggest clubs but insists his current focus is on the national team
The Uruguayan star has long been linked with a move away from San Paolo this summer, having admitted earlier this week that he would realise a childhood dream were he to sign for Madrid or rivals Barcelona.
The £54 million-rated Cavani tops Manchester City's summer wish list, and the Premier League runners-up have already held talks with Napoli over a possible move.
The 26-year-old striker scored 29 times in 34 games last season to finish as Serie A top scorer and secure the Capocannoniere, helping Napoli to claim second spot in the process, but he has once more hinted that his future could lie away from Rafa Benitez's side.
"Is Napoli my future? Napoli is my today," the former Palermo man told Corriere del Mezzogiorno.
"No one can predict the future. I can only say that today I am happy.
"As for Real Madrid... kids dream, it is normal. Everyone does it. Then life is another thing. I found Napoli and I am proud. Then again it's nice to dream, even when you are grown up.
"For now I am a Napoli player, I am not aware of other offers."
Cavani, who is in the Uruguay squad preparing for Wednesday's friendly with France in Montevideo, insisted to Telefoot that World Cup qualification is currently the only issue pressing on his mind.
"Today, sincerely, I am only thinking about Napoli," he affirmed.
"I have a contract. Right now, I am concentrating on my national team because we are going through a delicate time. The game against France will be an ideal preparation for the game against Venezuela [on June 11].
"It will be a tough game but the whole country wants us to get this qualification."