How to Make It
Preheat oven to 425°F. Line a rimmed baking sheet with foil.
Combine shallots, cilantro, 2 tablespoons oil, 2 tablespoons vinegar, 1 teaspoon salt, and red pepper in a small bowl. Carefully remove skin from chicken; reserve. Rub cilantro mixture evenly over chicken. Arrange reserved chicken skin over chicken.
Drizzle 1 tablespoon oil over prepared pan. Add paprika and potatoes; toss to coat. Add onions to pan; top with remaining 1 tablespoon oil and remaining 1/2 teaspoon salt. Arrange chicken quarters, skin side up, on pan. Bake at 425°F for 35 minutes or until chicken is done. Place chicken on a cutting board; let stand 5 minutes. Remove skin from breasts; discard. Cut breasts in half crosswise.
Preheat broiler to high.
Return pan with vegetables to oven; broil 5 minutes or until vegetables are caramelized. Return chicken to pan; top with remaining 2 tablespoons vinegar and cilantro sprigs.