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As far as I can see the best thing PSG can do about their players like Mbappe who won't extend his contract is to keep him for another season when his contract ends and until that time they can use this player to achieve their goals. Also, PSG would use another coach and Luis Enrique can be a good option for them in the next season while they still can have Zidane as their first priority.
it is a little difficult to keep Mbappe to stay at PSG while Mbappe has the goal of leaving PSG and getting a better team to be able to win the champions league title.
because this champion league title is one of the dreams that Mbappe had to get a long time ago and by joining PSG this Mbappe cannot get what he wants and on the other hand there are many rumors that will buy this reliable player and one of them is Man City and Real Madrid.
but I think Mbappe will at least stay at PSG until January 2024 and for the PSG coach it seems that Zidane has no interest in becoming a PSG coach.