The Gunners won 2-0 thanks to goals from Ebere Eze and Declan Rice on either side of halftime as they reach the quarterfinals 3-1 on aggregate.
Arteta said afterwards: “I'm very happy with the performance and the manner that we handled the game emotionally because in the first half we put so much into it.
“It should have been two or three, the keeper kept them in the game and then we needed a magic moment from Ebs to score an outstanding goal and decide to lead the way to the quarter-finals.
"We've seen in training a lot of actions like this but at the end he's here to deliver those moments when it matters and it matters like today. He's growing, I think he's now starting to show what he's capable of and now we just need consistency from him.”
On Rice's performance on the night, Arteta also stated: “I think he was immense today.
"The performance that he put in, considering the amount of games and minutes that he's playing in, I think he was outstanding. He really led the team in various ways and it's a joy to have him and today he was decisive again.”
It's now three successive seasons that Arsenal have reached the final eight.
Arteta added: “It's really difficult to achieve that. So the players deserve a lot of credit for that and especially with the schedule that we have now in the Premier League and all the competitions. I think it's a context that is very, very, very difficult, but I'm very pleased and I think we deserve to be there.”