Cavani's representative, Claudio Anellucci, ended speculation surrounding the striker's future after claiming that there is "no way on heaven or earth" he will be leaving PSG this year.
The Italian giants are reportedly interested in signing the Uruguay international with a cash-plus-player exchange deal including Pogba being touted.
However, Anellucci, has been quick to rule out such a deal ever happening.
"It's absolutely not the moment to talk about transfers," he told Radio Mana Sport. "We are in the decisive part of the season, the big clubs are fighting for the big trophies at domestic and European levels.
"PSG and Cavani are part of this footballing elite. An offer of 30million euros and Cavani for Pogba?
"There is no way on heaven or earth that will happen. Let's talk about something serious."
Cavani joined PSG from Napoli in 2013.