Odegaard suffered a shoulder injury in victory over Leeds United on Saturday.
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However, Norway's early move to call up their captain suggests the midfielder will be available for Sunday's blockbuster trip to Liverpool.
Norway will play a friendly against Scandinavian neighbours Finland on September 4 before hosting Moldova in a World Cup qualifier on September 9.
Gunners boss Mikel Arteta said afterwards: "So Martin felt something in his shoulder when he landed. We don’t know (how bad it is). We’ll have to scan him tomorrow and understand a bit better."
