I've went for "Other" because the above list is way waaaay off the mark for me.
From that list, Mourinho would be the obvious choice. But unlikely.
Sticking to realistic names - and I think we should be looking outside of England
Rui Vitoria (Benfica), Thomas Tuchel (Dortmund) , Andre Villas-Boas (Zenit), Unai Emery (
Sevilla), Leonardo Jardim (Monaco), Marcelino (Villareal) and Phillip Cocu (PSV) who would be better than Frank de Boer IMO although a bit less experienced, but still a lot better....it's not even close....yet De Boer is the one who makes the list!
All of the above are getable (not sure if Tuchel would be really). And from the above, I'd take any of them. AvB would be my least favored. If I had to pick one, I'd go for Emery.
Also, there may be some international managers who fancy a PL job after the Euro's - with a club that will spend a fair bit and pays well. Didier Deschamps, Joachim Low and Antonio Conte (if he doesn't go to Chelsea) are the obvious choices.
Every pme pf these would be a massive improvement on Martinez and almost all (if not actually all) would jump at the opportunity to manage us).