What do you call the eating of frogs?

I guess I should know !!!

You could create some neologism such as
- amphibiophagy ( ἀμφίβιος => both lives + φαγεῖν => to eat)
- batrachiophagy ( βάτραχος => frog + φαγεῖν => to eat)
- anuraphagy ( αν => without + ουρά => tail + φαγεῖν => to eat) credits @Malvolio.

I guess that would be a ranaphagy, from family Ranidae (true frogs), most of the edible ones being genus Rana.

I think calling him a ranophage sounds better though.

Here's a link mentioning edibility of a couple of species. It ain't just the Frogs wot eat frogs. Apparently them damned Yankees eat even more! (or maybe I should say 'damned Confederacy Southerners')