Chelsea have made contact with Sarri regarding the possibility of moving to Stamford Bridge this summer with Antonio Conte under fire following a disappointing defence of the Premier League title.
Under Sarri, Napoli remain in with a chance of winning Serie A this season, but are four points adrift of Juventus with three games remaining.
De Laurentiis would like Sarri, who reportedly has a release clause of £7 million in his contract, to remain, but he accepts the 59-year-old could move on.
"With or without, it depends on him," he told La Gazzetta dello Sport. "It doesn't seem right now to insist. Let him work quietly.
"Since January I have talked to him several times. If he finally wants to stay, for me it will be a great pleasure.
"If someone then had to pay the release clause, at that point I couldn't do anything.
"But if he wanted to leave regardless, it would mean he has no more motivation and I will have to take note of this."