Park City, TennesseePark City is a census-designated place in Lincoln County, Tennessee, United States. As of the 2010 census, its population was 2,442 and 2,422 at the 2020 census.Park City is the location of the Fayetteville Municipal Airport.GeographyPark City is located south of Fayetteville, Tennessee and north of Hazel Green, Alabama along U.S. Route 231/U.S. Route 431. State Route 275 also passes along the southern edge of Park City, connecting it with Flintville, Tennessee.