Yes - the Arkansas Department of Finance and Administration does accept mailed Form AR1000F, Arkansas Individual Income Tax Return.
The mailing address to file your Arkansas income tax return will vary, depending on whether
you enclosing a tax payment, receiving a refund, or paying no tax/receiving no refund:
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TAX DUE RETURN:
Arkansas State Income Tax
P.O. Box 2144
Little Rock, AR 72203-2144
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REFUND RETURN:
Arkansas State Income Tax
P.O. Box 1000
Little Rock, AR 72203-1000
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NO TAX DUE/NO REFUND RETURN:
Arkansas State Income Tax
P.O. Box 8026
Little Rock, AR 72203-8026