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.
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.
Don't believe that they are in no rush, they probably want to have a replacement for Pioli soon, but just haven't found one yet. And "No", I don't think it's likely they'll want to see the managers at the EURO, there aren't any great managers there who could possibly take their team to the top and then leave like that.
So far, based on rumors, there are 6 managers who might go to AC Milan, including: Paulo Fonseca, Roberto De Zerbi, Lionel Scaloni, Thomas Tuchel, Sergio Conceicao and Xavi Hernandez. Which of these managers do you think is most likely to go to AC Milan?