Will poodles kill mice? Asked By: Ocie Abbott. Date created: Sun, Jan 10, 2021 2:40 PM. Best answers. It's safe to say Poodles, given the chance, will enjoy chasing small animals such as mice, rats, squirrels, rabbits, hares, cats, ducks, and chickens. Anything smaller than themselves they will happily run after given the opportunity. Answered By: Lafayette McGlynn. Date created: Mon, Jan 11, 2021 4:43 PM. FAQ. =I How quickly will your dog go into heat? On average, puberty (or sexual ...