Odegaard is recovering from a knee strain suffered last month.
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While with the Norway squad as a cheerleader this past week, Odegaard offered an update on his progress before last night's World Cup qualifying sealing win in Italy.
He told TV 2: "It's moving forward.
"I couldn't get ready for the match, but it looks better and better. I hope I'll be back soon."
Odegaard has made seven appearances for the Gunners this season.