First manager on the list has to be Emery. PSG have dominated the league, and while they had a lot of resources, hes shown he can use it very well, and he can succeed with less as well. We will gladly suffer getting tossed out of the Champions league early for a treble.
After that, as I imagine other teams will be looking his way, and depending on which of the big clubs fire managers, id look for the likes of Fonseca, Andre Villas-boas. Unless you are just convinced someone like Howe is going to be a star manager soon, we should not even bother with the likes of him, Silva, Dyche. The next manager is the most important piece of the future for the next 5-10 years. If we indeed have ambition to be regulars in Europe, it has to be a top manager. While we cant compete with the top 10 clubs in the world, we can compete with the top 20-25 in terms of money offered, potential offered, size of club. It needs to be one of the best 25 managers in the world. Anything less is saying the likes of Olympiacos and Fiorentina are bigger.