The Slovakia international has been continually linked with a big-money move to the likes of AC Milan, Manchester City and Chelsea.
The 25-year-old's contract at the San Paolo runs out in June 2016. However, despite the interest, Hamsik has said that wants to "do well" for the club.
"This is my sixth season here and I want to do well for this club," he told Radio Marte.
"I never said that I feel like a club's symbol, but I am very happy at Napoli. I feel like home here.
"These fans deserve a lot and we want to give them a lot of satisfaction."
Hamsik joined Napoli in 2007 from Brescia.