The 24-year-old recently penned a one-year extension to eliminate any doubts about his future following reports that suggested he could leave the club at the end of the season.
"Last year, there was interest from Milan, but I am fine here," Hamsik told Mediaset Premium.
"This is the third year in a row in which we are playing in Europe. There is a project at this club and this gives me the strength to move forward."
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"We must work hard to fight for the title, we are not yet ready," the Slovakian midfielder added.
"This season was long, we just played our 51st match. The Champions League is very tiring, but everyone wants to play in this competition."
Napoli completed their league campaign on Sunday with a 2-1 win over Siena to seal a fifth-place finish in Serie A. They will have a chance of silverware on May 20 when they take on Juventus in the Coppa Italia final.
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