If he's got any sense, he should stay put for at least one more year. Even going to a, for instance, Brentford or a L***s is a huge step up from the Championship. He's still pretty new to management in England. He'll have plenty of time to manage at "big" clubs.
Witness Lampard. He was excellent at Derby, but couldn't hack it at Everton and Chelsea. I find it hard to believe that they've gone back to him to "mind the house"Yes, it's one thing to bring a good team up from the Championship. It takes different skills to keep them in the PL, when they're on a limited budget. He's got the second half of a project to fulfil. If he stabilises Burnley's place in the PL, I think a big club will come for him.
Sooner or later, I want him here in some capacity.
Keep the fans "onside" , the onlt thing they are missing is FKW John Terry on the bench with Frankie.Witness Lampard. He was excellent at Derby, but couldn't hack it at Everton and Chelsea. I find it hard to believe that they've gone back to him to "mind the house"