I've got a feeling this will end badly. Chelsea just doesn't seem like a good fit for him.
Maybe the new owners will be more patient but when they have a bad run, and they will, every club does, the booing starts and he criticises the fans things will go toxic very quickly.
I know but that doesn't mean he can never leave. He's an excellent and well respected coach who would compliment any team and the two of them have gelled.
GP likes to have his staff around him and he'll need all the friends he can get at Chelsea.