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.
I also doubt that Mbappe will leave PSG in this summer. I am pretty sure though that he wants to go to another club in the next one or two years. It is obvious by now that Paris Saint Germain is not the club to be in if you want to win the Champions League and i am pretty sure that Mbappe really wants to win that trophy at least once.
PSG spent an ridiculous amount of money to sign those 3 superstars but 3 players are just not enough to win you a title. For me PSG is a good example how money does not automatically win you titles. They have all those money from the sheikh but they just have to little knowledge about football to make use out of it.
They could have probably signed 15 absolute top players for the money that they have spent for Mbappe, Messi and Neymar, but they went for the huge names, like a 12 year old kid would do.