Luiz reckons Arteta will become one of the best managers in the world - despite failing to win either of his first matches as Arsenal manager.
"For me he will be one of the best coaches in the world," Luiz said.
"I am lucky to have have had many good coaches in my career, he is intelligent, he is clever and I think he will be one of the best.
"But it is part of our job to help him do that. People have doubts but I trust in his philosophy and the way he sees football.
"He knows football. When you know football it is much easier to explain and understand the head of the players on the pitch.
"It is not easy for him in the middle of the season, he didn't choose the players, but he will do his best. This amazing club deserves better."