No, you can't use it as a credit on OH taxes, but you may be able to deduct the $600 as a state tax deduction if you paid it in 2016.
To do so:
Go to Deductions & Credits.
Select I'll choose what I work on.
Go to Estimates and Other Taxes Paid.
Select Start or Update by Other Income Taxes.
Go to Other Income Taxes Paid in 2016.