In Southern Europe, hunting seems mostly to be a question of shooting things. Mainly, but not exclusively, reasonably palatable things (however small; and furred or feathered). I recall being mildly surprised that they didn't shoot frogs as well. These days it is commonly done purely for fun by people who don't actually need the meat (regardless of social class), but it's still "food" hunting, at least in theory. In the old days, aristocratic quarry such as deer and boar were hunted on horseback (and there are songs referring to that), while small game was trapped or shot for the pot by ordinary folk. France didn't suffer Enclosure in the way England did, so poaching wasn't the issue it was here.

I didn't hear of foxes being killed for fun when I lived in Provence (big hunting territory 30 years ago, and probably still is) and most certainly not for food; though I expect they were routinely killed by farmers as seemed expedient.