So at each of the clubs mentioned you'd keep the current manager in charge?
Sacking managers is an admission of your own failure and incompetence in the first place. Some fans seem to think that the solution to every problem, real and imagined is solved by sacking your manager, however that usually solves very few problems, and often creates as many problems as it solves.
City have a good and proven manager, he’s the current PL champion. The intelligent thing to do is identify with him where any current weaknesses exist and sort them out, by reinforcing in the appropriate manner.
Chelsea are looking like they’re going fine as they are and if I was Chairman/owner I’d do the same thing there, i.e review with my manager and identify any areas that can be further improved on for the next campaign.
United need to continue the rebuild, and as chairman/owner I’d give Van Gall at least one or two more seasons to complete his task, and review things after that.
Spurs need a period of stability and as you said yourself he needs to be supported rather than sacked.
Arsenal have a very able manager that has got them to the quarter final stages of the CL every year for the past fifteen and has virtually paid off their stadium development costs. He’s won a trophy recently and needs to be supported with strengthening, sacking him could usher in considerable instability.
Liverpool have a manager that has worked miracles with cheapish young potentials on a shoestring, I’d have to be off my head to sack him.