The Premier League match saw Arsenal take an early lead through Declan Rice, but Bournemouth scored two unanswered goals in the second half to secure a memorable win.
Arteta was asked if he thought his team should have taken advantage of the opportunities they had, and he acknowledged that they missed several chances to score.
"Yes, we should have taken those chances," he said. "We had many open opportunities, but we didn't convert them. When you defend poorly from set pieces at this level, it's tough to win the game."
