The Italian press has linked the former Palermo and Napoli player to Juventus.
Cavani, 28, is also a reported target of Manchester United.
Following PSG's 3-1 home defeat to Barcelona midweek in the Champions League quarter-finals first leg, Cavani quashed the speculation when he told Sky Italia: "There is too much talk about my future but I will remain here.
"I will respect my contract and I'm only focusing on doing well for PSG."
Cavani joined PSG in 2013 and is under contract with the Ligue 1 giant until June 2018.
The South American has scored eight goals in 28 domestic league appearances for PSG this season and has also struck six times in nine Champions League appearances for Laurent Blanc's side.
PSG is second in the Ligue 1 standings, two points adrift of league leader Lyon but have a game in hand.
It has also reached the French Cup final and is alive in the Champions League.
