You are right. Zidane's coaching style will not go down well with the PSG management. Because we have seen many times in the past that PSG management and players interfered in various decisions of the room. PSG's coach cannot make decisions independently. The coach has to take decisions as per the wishes of the management. Perhaps Zidane would not want to coach a team where his decisions are disregarded. And so even if PSG offers a big amount, the chances of getting Zidane as a coach are very unlikely. PSG management's influence over the squad and players must be minimized. This will make their performance more stable.
This time I agree with you, Zidane is not suitable for PSG due to several factors. Zidane prefers to be given the freedom to choose which players to bring in and which players to remove from the squad he leads. Real Madrid's success with Zidane is because the coach can work freely without any intervention from other parties, he prefers to lead the team with the players he chooses rather than players entrusted by other parties.
I think PSG made a blunder when they gave Mbappe the freedom to determine management policies, including on the player transfer side. Mbappe role at PSG is more than just a player, Mbappe can decide the fate of PSG players, he has the authority and asks the club to throw away players who don't suit him or players he doesn't like. The result of intervention from other parties is very much at odds with Zidane coaching style, maybe for this reason Zidane was never willing to train PSG.
I agree with you. Mbappe is not just a player at PSG. Mbappe has been given a lot of power by the PSG management. And it was their big mistake not to let Galtier and Pochettino work independently by the PSG management. And perhaps Mbappe himself did not take the coach's decision seriously. Mbappe played very selfishly. And PSG's overall gameplay was also unstable. The bond between the players was weak. And because of this PSG's performance was erratic. It is difficult to stabilize the team if the coach cannot work independently. And someone as experienced and respected as Zidane would certainly not want to coach a team where he is not properly evaluated. For these reasons, the possibility of seeing Zidane as the coach of PSG is very unlikely.