Take duck breasts out of the fridge 30 minutes before cooking. Cold duck straight into a hot pan is a recipe for tough, sad meat.
Score the skin in a diamond pattern with a sharp knife, being careful not to cut into the meat. This helps the fat render and creates maximum crispiness. Think of it as giving your duck a fancy tattoo.
Season both sides generously with salt and pepper. Don't be shy – duck can handle it.
Place duck skin-side down in a cold (yes, cold) heavy skillet. Turn heat to medium and let it slowly heat up. This is the secret to rendering fat properly.
Cook skin-side down for about 8-10 minutes until the skin is golden brown and crispy. Pour off excess fat as it accumulates. (Save that liquid gold for roasting potatoes later!)
Flip the breasts and cook for another 4-5 minutes for medium-rare (internal temperature of 130-135°F).
While the duck cooks, make the glaze. Combine orange juice, honey, soy sauce, orange zest, garlic, ginger, and star anise in a small saucepan.
Bring the glaze to a boil, then reduce heat and simmer until it thickens to a syrupy consistency, about 10 minutes.
Remove star anise and whisk in butter to make the sauce glossy and rich.
Transfer cooked duck to a cutting board and let it rest under foil for 5 minutes. Don't skip this step unless you enjoy watching all those delicious juices run away from your plate.
Slice duck breasts thinly against the grain and fan them out on plates. Drizzle generously with the orange glaze.