The Uruguay international has been largely resigned to a wider role during his time at the French champions due to Ibrahimovic occupying the striker's position.
With the Swede having left for Manchester United it appears likely that Cavani will be employed as the vocal point of the attack under new coach Unai Emery.
Cavani claims he feels no pressure ahead of the new season despite many looking to him to match Ibrahimovic's impressive tally of 50 goals in 51 appearances last term.
"Pressure? No. Every player has his way of playing. I have no pressure," he told L'Equipe. "It's a personal challenge for me, to give the best of myself, to win titles, to score goals for my team and to help when needed.
"That's the opposite of pressure. It's an honour for me to be one of PSG's forwards.
"It's a great challenge to be faced with, to be part of the PSG attack in this central position. I will try to be at my best and to meet expectations, as I've tried to do in previous years.
"With the confidence of the coach and the club, I hope everything will go as we want.
"I'm not the number one in attack, but I am the attacker the club made a huge investment on and whose position has changed, for various reasons."