You do not have to file an Arizona income tax return. Arizona nonresidents are required to file a return if your prorated AZ gross income (AZ ÷ federal AGI) is more than the resident or part-year resident threshold. Since your AZ income is $0, $0 ÷ federal AGI = $0, which is below the filing threshold.
You may wish to file a return to carry back your net operating loss to earlier years by filing amended returns. See ITP 13-1.
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