We love how Carena uses every part of the duck: The carcass makes a velvety broth for braising the wings and legs until they're fall- off-the-bone tender; the breast is seared and sprinkled with minced parsley and garlic, so the dish really runs the gamut from deeply meaty to fresh and vibrant.
04Coarsely chop remaining onion. Peel parsnips and cut into 3-inch batons (1/4 inch thick). Pat legs and wings dry and season with 1/2 teaspoon salt and 1/4 teaspoon pepper.
05Heat 1 tablespoon oil in a wide 6- to 7-quart heavy pot over medium-high heat until it shimmers, then brown legs and wings, turning over once, 6 to 8 minutes. Transfer to a plate.
06Add onion to pot with parsnips, ginger, zest, juice, 1 teaspoon salt, and 1/2 teaspoon pepper and cook over medium-high heat, stirring occasionally, until vegetables are softened and pale golden, 6 to 8 minutes. Add 2 cups duck stock (save remainder for another use) and nestle legs and wings in vegetables. Bring to a boil. Cover pot and braise in oven until meat is tender, about 1 hour. Let stand, uncovered, at room temperature 1 hour while cooking breasts.
07Season duck breasts with 3/4 teaspoon salt and 1/2 teaspoon pepper (total).
08Heat remaining teaspoon oil in a large heavy skillet over medium-high heat until it shimmers. Cook duck breasts, skin sides down, until well browned, 6 to 8 minutes. Turn and cook about 6 minutes for medium-rare. Transfer to a cutting board and let rest 10 minutes.
09Mix together parsley and garlic. Slice breasts crosswise. Serve legs and wings over parsnips and serve sliced breast on the side. Sprinkle with parsley mixture.