Potter - Most likely option given our track record, would be bad for us and possibly involve a drawn-out saga. Likely to ask for assurances we cannot provide and the bloke just got ~25m in payout for his last job.
Carsley - Would be great as an Interim Assistant Coach in addition to his England role, and would be good for his credentials as a full-time club manager. Has experience working with 'lower training hours' and would inform Dyche that the last two years' performance argument would not fly. Depends then on whether they have anything to lose.
Schumacher - Evertoninan who can tic-tac-toe and dip his toes in tactics, would arguably never blame the last couple of years and GP for everyday performances. Needs more experience in top-flight football or needs our patience. Seems progressive despite having a structured approach to football.
Gallardo - The original that Dyche's soundbites are modeled after, and tremendous tactician. Will choose the next step 'wisely'.
Rydstrum - New Wave manager topping the Swedish leagues with tactics in a similar vein to Arteta. Would need time, space, and resources at Everton. Football is very attractive to watch and will likely be between him and Diniz for Brighton Coach.
Ancelloti - Jr. already has experience with Everton in an Assistant role, but would need backing in terms of time and money (suspect). Sr.'s progressive tactics at Napoli and Real can at least partially be attributed to Jr's capabilities. However, we do not know our current relationship with the lotties... But would definitely blame the last two years.