One question you have to ask yourself is why did neither manager start Pépé at first?
I would hypothesize that they both sought to stabilize the team and focus on strengthening defense. So both men immediately went to a 343 and had relatively conservative play. And sought to retain possession. And it’s hard to do that with Pépé. You actually saw similar approaches with Guardiola early in his City career, and now with Tuchel as he’s started at Chelsea. 343, balanced formation, shut the door first.
But with things more stable now, Pépé has started 6 of our last 7 Premier League games. Arteta is comfortable with the base and is willing to complicate his arrangements.
My prediction. If you fire Arteta, the very next manager will sit Pépé as well for a few weeks.