The Gunners captain picked up an ankle problem yesterday and is out tomorrow's clash with Everton.
"We lost Arteta on Thursday with an ankle problem, From the [Bayern] game we have no injuries but we lost Arteta [in training] yesterday unfortunately," boss Wenger confirmed.
Arteta joins fellow midfielders Aaron Ramsey and Jack Wilshere on the treatment table.
"I believe he will be out until after the next international break," Wenger said of Ramsey.
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"With the [last] international break, the fact that he played against Andorra certainly cost Bale and him as well.
"Maybe he was overloaded a little bit with games. Ideally I think not him or Bale should have played against Andorra, because they were qualified.
"But unfortunately I could not decide that. I was in a position after that where I thought I could rest him against Watford.
"In the end I didn’t do it and of course after, against Bayern, I had not much choice and we got punished.
"Ideally he should have had a breather, or at Watford. Realistically, the real breather he could have had was against Andorra."
David Ospina is also out for around a month, while Wilshere, Rosicky and Welbeck are expected to return in the New Year.
