Savannah is a city in and the county seat of Hardin County, Tennessee, United States. The population was 7,213 at the 2020 census. Savann…Savannah is a city in and the county seat of Hardin County, Tennessee, United States. The population was 7,213 at the 2020 census. Savannah is located along the east side of the Tennessee River. Savannah hosted the NAIA college football national championship game from 1996 to 2007, and is home to several places of historical significance, including the Cherry Family Mansion.