Over the past six months, Trezeguet has repeatedly been linked with a move to the Stadio San Paolo.
"He'd be very happy to play at the San Paolo and it's something David has considered carefully," said agent Antonio Caliendo.
"Lately he has talked about this a lot and I told him all about the passion of the fans. The love that the Partenopei supporters have is fantastic and you cannot understand it unless you play with the Napoli jersey.
"Their fans are unique and you won't find another crowd like it in the world."