Tierney was left out with muscle tightness, and the left-back’s absence was keenly felt as Arsenal struggled to create chances against a well-drilled Palace.
Roy Hodgson’s Eagles ended up having the best chances at the Emirates, with James Tomkins hitting the bar and Bernd Leno making a superb save to deny Christian Benteke.
Pablo Mari also missed the match along with Tierney, but Arteta was boosted by the return of £45million summer signing Thomas Partey off the bench in the second half.
When asked what the Gunners were missing in the game, Arteta told Sky Sports: “Some freshness and some quality in the final third.
“There were situations where we lacked the last pass or the timing, or the last shot. Probably we had to generate more to be able to win that game.
“I would like to see a win today and score a few goals, and it didn’t happen. There were moments as well that fatigue played a big moment, when we started to give very difficult balls away.
“I cannot fault the spirit, the fight that they put in. They tried to the last minute but it wasn’t enough today.”
Arteta confirmed that Arsenal face a nervous wait to discover whether Tierney will be back for Monday night’s home clash against Newcastle.
Asked if he expected Tierney back, Arteta replied: “I don’t know. He is going to have an MRI scan tomorrow and see how he is.”
This weekend get a £10 free bet with Betfair, when you bet £10 on a Same Game Multi on the Premier League.
Terms: Min £10 Same Game Multi bet on any EPL match this Fri – Sun. Free bet valid for 72 hours, awarded at bet settlement. Excludes cashed out bets. T&Cs apply.