Tuchel's a bit strident. On one hand he should finally deliver with Saint-Germain to prove himself among the absolute top, but if he does he might be unattainable, on the other hand he's clearly a top tactician. Nagelsmann's route over the next years is practically set. He'll stay at Leipzig for three or four seasons, then it's Bayern for him - he's a professed fan of theirs and has stated multiple times he wants to coach them. Think Bayern's next two managers will be Ten Hag and Nagelsmann. Allegri would have been my choice to come in straight after Wenger to pragmatically stabilize and improve the squad at hand, but as I now think with the Emery days under way and a bigger squad fluctuation an almost complete rebuild is needed, I'd go for someone fresher who's really sold on the project and to make his name with it. Think a dark horse is the way to go. Not as dark as never-having-managed-a-team-himself-Arteta or the just slighlty more experienced Ljungberg, but someone like Vieira if he does well at Nice, the Wilder guy @Rex Banner mentions often, Marcelo Gallardo who's still mostly a no name in Europe despite being very successfull in South America. Haven't looked into him too much, but that Julien Stephan from Stade Rennes seems to do a fine job. I also wouldn't remove Rodgers and Howe from my list before having spoken to them, although the latter might be a singularity just like Streich at SC Freiburg, who probably wouldn't work anywhere (as well) as he does there. If Emery was to be sacked during the season, I'd seriously consider Claudio Ranieri as caretaker for the remaining matches.