Place 2 chicken breasts into a heavy-duty baggie and tenderize with a meat mallet or rolling pin, flattening the meat to 1/2-3/4 inch thickness.
Rub olive oil over each chicken breast, covering the entire surface area. Rub salt, pepper, brown sugar, and smoked paprika all over each and set aside. Allow chicken to come to room temperature.
Place each chicken breast on the hot grill, preheated to 450°F, and grill on each side for 6 minutes, until they easily move and do not stick to the grates.
Baste each breast with BBQ sauce after the first flip. Cook an additional 2 minutes on each side, or until the internal temperature of the chicken reaches 155-160°F.
Remove the chicken breasts from the grill and allow to rest for 5 minutes, covered with aluminum foil. The breasts will continue to cook in their own juices and reach the safe, mandatory temperature of 165°F.
*For this recipe, 1 serving = 6.4 ounces per person. 3-4 ounces is a typical serving size for chicken, but I was generous and went with 6 ounces per person for this recipe… so you could easily stretch it further if you needed to!