Season Drumsticks: Pat the chicken drumsticks dry with paper towels. Season all over with smoked sea salt and optional black pepper, ensuring even coverage.
Arrange in Slow Cooker: Place the seasoned drumsticks in the slow cooker. No need to add liquid, as the chicken will release moisture as it cooks.
Cook: Cover and cook on low for 4-5 hours, or until the chicken is cooked through and the meat is tender.
Optional Crisping: For crispy skin, place the cooked drumsticks on a baking sheet and broil in the oven for 3-5 minutes, or until the skin is crispy and golden.
Serve: Serve the chicken drumsticks hot.