If Mourinho is happy in Roma he can stay, but I'm sure there will be a lot of teams that want to see him at the end of this season.
The choice of a permanent future coach has led to the team playing high-level football; the Portuguese bought the players on his radar, eventually transforming AS Roma's lackluster performance into one of elite caliber. Mourinho deserved some recognition because managing a team and winning big trophies every season is not an easy task. They're the first ever club to win the European Conference League, an astounding milestone for the club. José Mourinho's presence means a lot to AS Roma; the club has made big offers and extended Mourinho's contract.
Even though Mourinho this season failed to present his first European league title for Roma, he will still be one of the best coaches that Rome has. Surely Mourinho wants to continue to stay here and will refuse offers from other clubs because he also feels that he is not satisfied enough to bring the Italian capital team to get even more titles.
Maybe at least the conference league title he won last season can be a bit of a comfort for his players to continue to be excited about all competitions next season and especially for Serie A I think Mourinho wants to give the best results so that Roma are back in the top 4 of the standings.