Hello Sarah. Cooking rabbit for the first time can feel a bit uncertain, but stewing is actually the absolute best method to ensure it turns out tender and flavorful.
Since you purchased the rabbit at a supermarket, it is almost certainly farm-raised young rabbit. For standard supermarket rabbit pieces cut into portions, stewing on the stovetop usually takes between 1 hour and 1 hour and 30 minutes over a gentle simmer.
To get the best possible result, start by quickly searing the rabbit pieces in a little oil or butter until lightly browned on all sides, then remove them briefly. Build your braising liquid using stock, vegetables, and herbs. Return the meat to the pot, cover it tightly with a lid, and reduce the heat to a very low simmer.
The key to tender rabbit is low and slow heat. Because rabbit meat is extremely lean, boiling it rapidly will cause the proteins to tighten, making the meat tough and dry. Keeping the liquid at a soft, barely bubbling simmer allows the meat to soften without losing moisture. Check the meat around the 1-hour mark using a fork. You will know it is ready when the meat pierces effortlessly and pulls away from the bone easily.
If you prefer using a slow cooker, cook it on Low for 6 to 7 hours or on High for 3 to 4 hours. Allowing the meat to rest in the warm pot liquid for 10 minutes before serving will also help retain tenderness. I hope your dinner turns out delicious!