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.
Di Maria will be leaving PSG as a free agent at the end of this month after seven successful years in Paris and he has suggested that his compatriot will not be sticking around for much longer either.
The Argentina international told TyC Sports: "There are other players who will surely leave. Mine was the easiest because they didn't have to renew [his contract].
"On the one hand it hurt and on the other, no. I left in a very special way. It was an unforgettable night [Di Maria was given a standing ovation when he was substituted in a 5-0 thrashing of Metz], that an Argentine in another country has a farewell like mine, not everyone does.
"The affection of the PSG fans, the ones behind the goal, is the most difficult thing to achieve. That I go outside, that they sing for me alone and having made a mural for me to sign are things that remain in the memory."
He added: "It seems like they also want the coach to leave. There will be a very big change, but I think [Lionel] Messi knew how to understand it.
"It will help him to be much better next season. I think it will start very well because he ended up scoring goals, giving assists, feeling very comfortable and adapting more and more."
