The Partenopei chief concedes that the striker will leave if his buy-out clause is met and notes that the Argentine's stint with the team has been very positive
The Argentine forward has been strongly linked with a move away from the San Paolo, with Inter and Paris Saint-Germain both interested in the 27-year-old.
His tears on Sunday evening, following Napoli's 2-0 victory against Juventus in the Coppa Italia final, may suggest that this was his last match for the club, and De Laurentiis is not ruling out a summer transfer.
"He is 27, we will let him decide his fate," he told reporters. "He has a buy-out clause, if anyone meets this figure, he will go.
"These five years with him have been very good and they will not be erased from the memory."
According to reports, Lavezzi's release clause is set at €31 million (£25m), with his contract due to expire in 2015.