I've read the wild hog regulations on the .gov site, and it says that landowners and their designees are exempt from licensing requirements for shooting hogs on said landowner's property, as wild hogs have been deemed NOT big game, but nuisance animals. So no license needed?
https://www.tn.gov/twra/article/wild-hog-regulations
https://www.tn.gov/twra/article/wild-hog-regulations