My understanding is it is wide open to anyone, anywhere with anything. However, I have never seen one, seen sign or talked to anyone who has seen one. Thankfully they are under control in Ohio. I know there are some outfitters that have fenced hog hunts in Ohio though.
I was just talking to a friend down in Vinton county and he claim there is a group of hogs running the Lake Hope area. He said he has heard of one getting hit by a car and another being shot. He claims they arent feral hogs but real razorbacks. But this is all just rumors.