I doubt the news, Maybe he likes to leave, but as usual, he will not. Mbappe has been one of the major players in that PSG team. In important games where he does not play, we always see how PSG struggle because that his ability to make quick runs and score with just a touch will be missing in the game. With Messi now out of PSG and Neymar set to leave too, Mbappe knows there will be more responsibility for him. PSG will get new players in the transfer market, that can majorly play with him to win the champions league in PSG, he is not leaving.
If PSG decided to stop Mbappe this season then that is very big risk because if he decides to leave next season that will be on a free transfer which would cost the club a big fortune thus losing millions of Euros, the only way forward is Mbappe to give assurance to the club that he is staying with the club for a long term basis and ready to sign a new contract, however with some recent speculations of his purported move to Real Madrid is unsettling his club, of course Real Madrid needed a striker to replace Benzema who had left the club while the club is already on the move to bid for and sign Harry Kane, however I think Real Madrid will give up on signing him for Mbappe.
Management is well aware about this all just because of this now they are talking directly with him about future and forcing him to extend his contract, or they will sell him immediately because contract is going to end 2024 which mean if he is not going to extend his contract then next year he can leave PSG as free agent and this could be big lost for them with Real Madrid is ready to take this advantage so most chances we will have all updates about this deal in next few days because they never want to lose him as free agent as they invested millions of Euros on him in last few years.
Many big stars already out of this squad so things looking tricky for the next season if he leaves immediately most chances he will extend his contract even this will be for the 2 or 3 years, but surely something like this going to happen in near future which could be good for the both parties.