The club skipper's future has been questioned this season as he's struggled with injury and for consistent form.
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This has led to Odegaard being linked with a move to the continent in recent weeks.
But the Mirror says Arteta is demanding Odegaard remain next season.
Arteta has full confidence in his captain and is confident the midfielder will rediscover his best form once he shakes off his various injury complaints.
Odegaard's current Arsenal deal runs to 2028.