Cavani has been a much-maligned figure since joining PSG from Napoli in 2013, with the Uruguay international criticised for underperforming in the biggest matches.
The 29-year-old, who has been forced to play second-fiddle to Zlatan Ibrahimovic in the French capital, has reportedly been attracting attention from the likes of Manchester United.
But Cavani insists he will continue to give his all for PSG, who are still battling on multiple fronts as the end of the season approaches.
"I respect my club, like all those I played until the last day," Cavani is quoted as telling Mexican television channel TDN.
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"I wear the shirt of this club, I will defend it as if I had been supporting the club all my life.
"The only thing I can say is that, beyond the ups and downs that I had since I was there, of all the debates that had on me, I have always tried to respect the team, the club and the jersey at the time of entering the field.
"I will try to continue like this, to give the best football depends on many things, so you never know… I hope things continue like this as long as possible."
Cavani has been forced to play a wide role in the PSG starting XI to accommodate Ibrahimovic, a situation the former Palermo star has spoken out against.
But when pressed on the issue, Cavani added: "I do not like to talk about it because this situation is not new. When I arrived at PSG I played striker, even if I was free to move. I had to adapt to a new position, I got prepared.
"What can I say? I'm trying to do what I can to play as many matches possible, because that's what I like. We'll see what happens. I'll finish the season in the best of ways."