Reports have gone rife in recent days that one of Jose Mourinho or Zinedine Zidane is being lined up to replace the Argentine at the Parc Des Princes.
Pochettino was appointed PSG manager in January 2021 and has a contract until the summer of 2023.
The former Tottenham Hotspurs boss led PSG to the Ligue 1 title this season but there was disappointment in Europe after being knocked out of the Champions League at the round of 16 stage by Real Madrid.
Angel Di Maria, who is set to leave PSG at the end of this month, has even hinted that his compatriot will soon be let go but Pochettino says he is used to rumours surrounding his job.
"I have one year left on my contract and there are a lot of rumours. Every week I am fired," Pochettino told Esport3.
"PSG is causing this kind of thing. The club is trying to reinvent itself. The president will soon explain his new project, but I am calm."
"PSG are desperate to win the Champions League," he added. "The goal is to win it, and it is normal for 'storms' to be generated, but we reversed it by winning the league, just as [Manchester] City won it in England.
"With the expectations and the dressing room we have, it has been a continuous learning. We were one step away from eliminating Madrid – as were Chelsea, City and Liverpool.
"We won the same [at PSG] as [Carlo] Ancelotti, [Laurent] Blanc and other coaches, but there is a lot of impatience at the club."
