Milan doesn't look like they are in a hurry to bring a new manager after parting ways with Pioli. I assume they just decide to wait for Euro 2024 to end. Maybe they even want to watch some managers here to add them to the list according to the performance. 
There are always good managers out there. Making the right choice is the most difficult thing for the long term. Milan likes to bring Italian managers more often than the ones from other nationalities. They might have entered the race as well if Napoli didn't finish Conte deal quickly. After Allegri and Ancelotti, this was the first time they went for the long term with the same coach. I'm curious about whether they will find a manager to work with for as long as Pioli's time.
Seria A elite clubs are positioning themselves for the top battle next season. It's definitely going to be elite for them because most of these clubs have to configure their clubs when it comes to managerial management and also making important signings for the purpose to make increase in stellar performance. Stefano Pioli have done his best for AC Milan but they club needs to write a new chapter inother to boosts their performance. There are always good managers out there. Making the right choice is the most difficult thing for the long term. Milan likes to bring Italian managers more often than the ones from other nationalities. They might have entered the race as well if Napoli didn't finish Conte deal quickly. After Allegri and Ancelotti, this was the first time they went for the long term with the same coach. I'm curious about whether they will find a manager to work with for as long as Pioli's time.
You need to realize that Napoli and Antonio Conte have reached an agreement and also, Antonio Conte has a contract until 2027 in Napoli. So, there is no longer a chance for Milan to compete with Napoli to get Antonio Conte, because Antonio Conte has signed a contract with Napoli for a few days ago. Then. But regarding Stefano Pioli, I think Stefano Pioli's contract has expired because after all, I don't know whether Stefano Pioli was fired or his contract with Milan has ended. But apart from that, I think Stefano Pioli's departure is a good way too, because basically Stefano Pioli also left in a good way. But indeed, of course Milan will try to appoint a new coach for next season and that will of course happen sooner or later.