Greeneville, TN Directory Food City Claim Listing Food City 905 Snapps Ferry Rd, Greeneville,TN 37745Directions423-638-1271509 Asheville Hwy, Greeneville,TN 37743Directions423-639-71812755 E Andrew Johnson Hwy, Greeneville,TN 37745Directions423-588-5959 Website Eat & Drink, Grocery Description No description provided.