The defender was part of England's squad this past week.
On Branthwaite's ego, Dyche said: "There won't be a problem with that. He's come in, hasn't changed, loads of good reviews and rightly so since he came back (from PSV), lots of man of the match awards.
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"He's signed a new deal, don't forget, been with the Under 21s and been pretty steady among all that. But you do want him to change in a positive way, come out of himself more and keep thriving on it, building his own on-pitch persona.
"I had Tarky (James Tarkowski) and Keano (Michael Keane) when they were young (at Burnley), they started expressing themselves as individuals with the way they play and then as leader types."