1. Combine the lemon juice, sugar, garlic, jerk seasoning, and salt in a zip-close plastic bag; add the chicken. Squeeze out the air and seal the bag; turn to coat the chicken. Refrigerate, turning the bag occasionally, for at least 4 hours or up to overnight.
2. Spray the grill or broiler rack with nonstick spray. Preheat the grill to medium or preheat the broiler.
3. Transfer the chicken from the bag to the grill rack; discard the marinade. Grill or broil the chicken 5 inches from the heat, 10 minutes. Turn the chicken and grill or broil until an instant-read thermometer inserted in a drumstick registers 165⁰F, about 5 minutes longer.