Preheat oven to 350 F degrees.
Heat oil in an ovenproof skillet or brasier with a lid over medium heat. Season the chicken pieces with salt and pepper, and brown them well on all sides. If you are not using an ovenproof vessel, transfer the browned pieces to a casserole dish in a single layer. Place the chicken skin side down in the skillet or casserole dish.
Whisk together remaining ingredients in a bowl and pour over chicken.
Bake for 30-40 minutes, basting occasionally and flipping the chicken a couple of times, until the chicken is cooked through and the sauce has reduced and thickened slightly.
Top with chopped parsley and serve.