There was a suggestion that the 21-year-old would spend next season out on loan again, but the Azzurri are ready to give him a chance.
"The club has been very clear," agent Antonio Ottaiano told Calcio News 24. "Lorenzo will stay at Napoli.
"He will join up with his teammates for pre-season and he'll be one of the four attackers at the disposal of boss Walter Mazzarri.
"We're very happy about this and you'll see that Lorenzo will have a great season."