Marchisio caused a diplomatic incident this week when he told the Corriere della Sera he had "a particular antipathy" towards the Partenopei.
Mazzarri said: "I did not take Marchisio's comments as offensive. In fact, being disliked in football is a compliment. Conte is right, in this sport we all want to win and the only teams everyone likes are the ones nobody respects. This means Napoli are respected."