Preheat oven to 350°.
Sprinkle chicken with salt and pepper. Heat a large ovenproof nonstick skillet over medium-high heat. Coat pan with cooking spray. Add chicken breasts to pan; cook 5 minutes, turning occasionally. Add chicken thighs and drumsticks to pan; cook 5 minutes, turning occasionally. Bake at 350° for 30 minutes or until done, turning halfway through cooking time.
Spoon 1 tablespoon pan drippings into Mole Sauce. Serve sauce with chicken. Garnish with lime wedges and cilantro, if desired.