Step 1: Season the Drumsticks - Place the chicken drumsticks on a tray or plate and sprinkle them with salt, black pepper, and smoked paprika. Use your hands to gently rub the seasoning across the chicken so each piece is evenly coated.
Step 2: Sear the Chicken - Heat the oil in a large skillet over medium high heat. Add the drumsticks and sear them for several minutes until the skin becomes lightly browned. You do not need to cook them through here. The goal is simply to add color and deepen the flavor.
Step 3: Transfer to the Slow Cooker - Once the drumsticks are browned, place them in the slow cooker in an even layer. They can overlap slightly but try to keep them fairly spread out so the sauce can coat everything.
Step 4: Make the Cherry Cola Sauce - In a mixing bowl whisk together the cherry cola, barbecue sauce, minced garlic, brown sugar, Worcestershire sauce, garlic powder, and cornstarch. Stir until everything is well combined and the cornstarch has fully dissolved.
Step 5: Pour the Sauce Over the Chicken - Pour the sauce mixture evenly over the drumsticks in the slow cooker. Make sure the chicken is nicely coated so every piece cooks in that flavorful mixture.
Step 6: Slow Cook Until Tender - Place the lid on the slow cooker and cook on low for 5 to 6 hours. During this time the chicken will become tender while the sauce slowly develops a rich flavor.
Step 7: Thicken the Glaze - During the last 30 minutes remove the lid from the slow cooker. Allowing the steam to escape helps the sauce reduce and thicken into a glossy glaze that coats the chicken. Before serving, spoon some of the sauce over the drumsticks for that beautiful sticky finish.