There are wide range of rental car options available either at the Knoxville Airport or around downtown Knoxville.
These include but is not limited to the following:
Avis
Budget
Enterprise
Europcar
Hertz
Sixt
Thrifty
A generalized search of "Car Rentals Knoxville" will lead to many websites for browsing. Also remember that some specific rental car company websites can provide valuable options depending on your needs.