The outspoken club chief says his side can aspire to greater things after defeating the Serie A champions as they seek a first Scudetto since the days of Diego Maradona
Uruguay striker Edinson Cavani scored a brilliant hat-trick to seal all three points after Alberto Aquilani had given the champions the lead early on and De Laurentiis believes that the win can lead to bigger and better things.
"With Milan we had a nice dinner," he said, in quotes published by La Gazzetta dello Sport. "But we're still hungry."
Staying on a culinary theme, however, the film producer regretted what he believes was an unfair distribution of television rights in the summer, claiming his side were left with a meagre slice of the pie.
"It's just a shame that I have to say once again that in the league this summer we thought only of litigation and dividing up a very meagre slice of the pie. We sold off television rights and images cheaply," he said.
Napoli are operating with a small squad and De Laurentiis believes rotation will be necessary for Wednesday night's trip to Chievo, especially with the games now coming thick and fast.
"Against Chievo we will have to make one or two changes because there are so many matches and we will need to rotate to put out our best team. I hope to see a great Napoli," he said.
Napoli sit top of Serie A with six points, having won both of their opening games, along with Juventus, Udinese and Cagliari.