Step 1

Set up a grill for indirect cooking over medium-high (see note below). Clean and lightly oil hot grill. In a bowl, combine paprika, ground pepper, salt, cayenne, oregano, thyme, garlic, and oil; rub on chicken.

Step 2

Grill chicken, skin side down, directly over heat source until skin is browned, about 4 minutes. Flip chicken; move to cooler side of grill. Cover grill and cook chicken until cooked through, 35 to 40 minutes. Transfer to a platter and tent with foil. Let chicken rest 10 minutes.