Are you saying that your W-2 has Tennessee state information in boxes 15 to 17? Tennessee does not impose an income tax, so no employers would be legally withholding income tax for Tennessee. If Tennessee is the state in box 15, then box 17 needs to be zero. If it is zero, then leaving boxes 15 to 17 blank on the W-2 form in TurboTax will not cause any issues for you.
If there is anything other than zero (or blank) in Box 17 on your W-2 from Tennessee, then your employer issued you an incorrect W-2 and you should speak with them about the error and ask for the W-2 to be corrected.
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