The club president insists that the Uruguayan is not definitely leaving this summer and rejects reports that Paris Saint-Germain has triggered the striker's contract clause.
The striker has been heavily linked to the likes of Real Madrid, Chelsea and Manchester City since the 2012-13 season finished, though none of the European giants have triggered his 63 million euro contract release clause.
There were reports from AS that Paris Saint-Germain had offered the massive sum of money for the Uruguayan on Wednesday but De Laurentiis has denied the claims and suggested that the 26-year-old could see out the remaining four years of his current deal at San Paolo.
"We have not received an offer from PSG for Cavani," he told Sky Sport 24. "We are a rich club that respects financial fair play. We do not need to sell our players.
"If someone wants 'El Matador' then they will have to pay the 63m euro clause. If we do not get offers, we would be happy to have him with us at least until his contract expires in 2017."
Cavani scored twice for Uruguay in its third-place playoff against Italy at the Confederations Cup to take his tally for the tournament to three goals, though his strikes were unable to save the side from defeat in a penalty shootout.