PSG management has a feeling that they overpaid for Mbappé and rumors are that they are in favor of the player moving to the Saudi club. However, Mbappé doesn't want to move to Saudi Arabia, and this is adding a lot of complexity.
It is too soon to conclude that Mbappe will not move to Saudi Professional League. The summer transfer window is still long enough, more than one more month that is enough time for Mbappe to move.
First he will wait for the countdown till 31 August to finish and he will take the loyalty fee from PSG. After that, he might announce his decision and I see moving to Saudi Arabia in this summer, play there one season is not bad for Mbappe. It's much better than staying in PSG and stuck on the bench.
Rather than allowing Paris Saint-Germain to sell him, Mbappé wants the contract to be terminated so that he can become a free-agent. And once this is done, he most probably want to enter in to talks with Real Madrid, to explore the possibility of representing them in La Liga next season.
He will not end his career in Europe so Real Madrid will be his destination but how will he move to Madrid is unknown.
Three scenarios for his move to Madrid: stuck in PSG next season and move to Madrid next summer; move to Saudi for one season before moving to Madrid next summer; and lastly move to Madrid this summer. By what way, he will be a Real Madrid player after all.