What does he gain from this though? Whether he likes it or not, Southgate is here until the end of Euro 2024 at least, and presumably he doesn't want to be on the bench or left at home for that, so you're going to need to get in the manager's good books by playing and playing well. If Southgate had a vendetta against him it's just doubled.
Unless he's just decided he can't be arsed with England full stop as long as Southgate is there.
Personally I'm happy for him to never play in any qualifiers or friendlies, I hate these international breaks.