The two managers clashed after Arsenal beat Brighton 1-0 in March on their way to winning the Premier League, with Hürzeler criticising the Gunners' style of play afterwards and saying "only one team tried to play football" during the game. Arteta, however, made clear there were no lingering hard feelings as the sides prepare to meet again.
"That's all done. That's all in the past," Arteta said. "I have huge respect for Fabian and what he has done, and what Brighton has done as a club.
"It's just remarkable. Tomorrow is going to be a beautiful game to watch, I am sure."
The trip to Falmer stadium could see Viktor Gyökeres face his former club, though the striker is likely to start on the bench as he continues to search for form, with Kai Havertz having scored three goals in six games in his absence from the side. Arteta, however, played down concerns over the Swede's slow start since his move from Sporting CP.
"Especially in the Premier League, he hasn't played that many minutes," Arteta said. "But last week he played in Napoli, and he had a good game.
"I think that's about moments as well. We need to give him all the support and confidence that he needs to deliver because we know the player that we have, the capacity that he has to score goals and what he can give to the team."
Arteta framed Gyökeres's adjustment as part of a broader process of the team finding its rhythm together.
"The team is doing certain different things this season as well. It's a bit of both, but it's nothing unique for Viktor; it's for everybody. That's a constant evolution, player and team. And for sure our job, especially my job, is to try to fit that in and find those connections and that level of confidence for the player to give his best for the team," he said.
"Especially for a striker, you know what, they need minutes and they need goals. That's what really boosts their energy, and we have a game tomorrow and hopefully he can deliver that."