Fourth spot in the table and the sniff of Champions League football just six years after bankruptcy and reformation in the third tier has Naples dreaming of even greater glory.
A win in Saturday's home game with Genoa, a team with a similar recent history, would power Napoli up to joint second - for a day at least.
"What we do this year will serve as a base for next season," he told Radiouno.
"If something extraordinary happens, we'll take it but we are not talking about precise objectives, we'll leave that to the big clubs."
Mazzarri knows Napoli are a big club given the huge soccer passion of the population of Italy's third city, who even packed the San Paolo with 50,000 crowds in Serie C.
Last weekend's 2-0 win at Livorno was set up by Christian Maggio's wonder-goal, which revived memories of Marco van Basten's dipping volley from a tight angle at Euro 88.
Argentina's Lavezzi is still injured but Italy World Cup hopeful Quagliarella returns from suspension against a Genoa side which finished fifth last term and now lies eighth.
Relentless leaders Inter Milan travel to suddenly stuttering Parma on Sunday when second-placed AC Milan, nine points adrift with a game in hand after Sunday's derby defeat, host Livorno.
Sixth-placed Juventus entertain struggling Lazio in Sunday's late game with speculation continuing over coach Ciro Ferrara's future after five league defeats in six.
