The outspoken president believes the two Milanese giants ought to be very worried for the 2011-12 campaign
The San Paolo-based side finished third in Serie A behind Inter and champions Milan last term.
And the outspoken patron believes this could be their year to upend the two Milanese outfits.
"These Milan and Inter teams are starting to be scared of us and we will not let their life become easy," De Laurentiis said, according to Tuttomercatoweb.com.
"They will be overcome with fear. We are in no rush [to win the title], but we will not make the lives of Inter or Milan any easier."
De Laurentiis also confirmed striker Cristiano Lucarelli would remain with the club for next season.
"We have found an agreement and Cristiano will join the team in Trentino," he said.
Napoli finished 12 points behind Milan and six behind Inter in the race for the Scudetto last season.