Mazzarri comes off contract at the end of the season.
"If it were up to me, I'd offer him a three-year contract. We know each other well and are two good people, but we have different concepts of football. I am the new, while he has the culture of the past," De Laurentiis told Radio Deejay.
"He tells me, 'President, if you just say that we won't win the Scudetto, then we can build a team of young players.' Maybe by seeing Borussia Dortmund's example, he could change his mind. Mazzarri is a loyal and fair person, something that is hard to find in football."