Sarri, Emery also failed at big clubs in England in recent years despite their previous success. Emery has managed to recoup his reputation by his spell at Villa somewhat.You've got De Boer and AVB, that's essentially it by way of managers winning big cups in other leagues and failing here.
I'm not getting into smaller club managers like Bilic, Gerrard coming from other leagues and failing, and a host of managers who tried to make a step up within PL and failed (like Silva trying to go from Watford to Everton), because that's a different job altogether.
Outside of PL you have numerous managers getting a run at big clubs after impressing for smaller teams, and failing.
Failures are just much more frequent than successes.