The Napoli owner revealed Manuel Pellegrini's men are the only team to formally express their interest in the prolific Uruguayan, but insists their offer was too low
Despite new boss Rafa Benitez insisting he wants to keep his star man, it is looking increasingly likely Cavani will depart San Paolo this summer, with Real Madrid, Chelsea and City all interested.
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"The only meeting I've had has been with Manchester City, but the offer was inadequate," he told reporters.
Cavani recently voiced his discontent at Napoli's refusal to consider any offers lower than his buyout clause, and hinted he will seek talks with De Laurentiis now Uruguay's Confederations Cup campaign is over.
But De Laurentiis insists there is no need for any such meeting, and re-asserted his negotiating position.
"There is no need to have a face to face with Cavani," he added.
"If a club offers 63 million euros then we would allow him to leave. The release clause will have been activated.
"It's not fair that Cavani has distractions while he is playing in an important tournament like the Confederations Cup.
"Should we receive an offer, then fine. If this offer doesn't arrive the Cavani will stay in Italy with us."