Indeed but no manager is duty-bound to play them.
My concern with Emery would be that he probably saw his next move after PSG as being either Barca or Real Madrid or similar and whilst Madrid may be looking for a new manager in the summer also; I can't see Emery being a candidate after a perceived failure at PSG, however unfair that is. I could be wrong of course.
I have no issue with someone taking our job and having bigger plans for themselves than us, but any manager looking to use us as a springboard would probably have to achieve at least one Top 4 finish and/or a trophy.
In all honesty that would be one hell of an ask within a three year contract and for a guy in a hurry. I think this is also what puts the likes of Tuchel off us.
For me this is what makes Fonseca more of a realistic possibility - he is still making his name and whilst we as fans always have high ambitions, the external expectations on him wouldn't be as great and his career at this early stage could survive a period where he wasn't seen to achieve very much by the standards of our peers.
What I want from the next manager is that, over the period of a contract, he does the heavy lifting in terms of sorting out the squad and gives us a recognisable way to play and stability. He must at least have us on the fringes of the top 6 so that both he and the club want to continue.