Handy guide for hunting in Québec Hunting in Québec can be broken down into big game and small game. Big game in Québec includes moose, black bear, caribou, coyote, wolf, and white-tailed deer. Small game includes wild turkey, partridge, ruffed grouse, spruce grouse, snowshoe hare, and willow ptarmigan. Migratory birds such as snow geese, ducks, Canada geese, and others are also very popular with hunters in Québec. .