If your employer will not correct the issue on their end, you would need to file a Nonresident and Part Year Resident AR1000NR, Arkansas Individual Income Tax Return to get a refund of your income taxes withheld.
Arkansas nonresident form
When using TurboTax to prepare you nonresident wages, you would need to indicate that none of the wages were applicable to Arkansas in the state interview section. This will result in your state tax return showing no taxable income and allow you to get a refund for all of your state income taxes withheld erroneously by your employer.
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