Arsenal defeated Crystal Palace in a penalty shootout, with fit-again Gabriel Jesus outstanding on the night.
Arteta said afterwards: "I'm so happy. And it was his 100th appearance today, I believe. That explains the journey that he has. A lot of bumps in the road.
"But a player with an incredible resilience, fight and the spirit that 11 months after he's able to perform in the manner that he did. So, great to have him back."
On finding a way to win, even with the shootout, Arteta added: "That’s what we want. I think what we have to do is continue to generate the chances that we do and concede nothing. I think we conceded only one shot again. And do that and trust the players.
"They showed great composure and quality in the penalty shootout. We had some very big open chances today to score goals and we didn’t. So trust them, keep training and try to keep improving."