Though it’s derived from a French word that means chopped, hash is quintessentially American. It’s most often made with roasted or boiled meat (sometimes corned beef) and potatoes, cut into cubes and fried into a crisp-bottomed cake. Invariably, it’s then topped with an egg, poached or fried. This one, made with roast turkey, makes good use of holiday leftovers. Scallions and jalapeño lend it brightness.
03Add parsnips, turkey and sage. Stir to coat well. Let sizzle, adding more butter as needed, until mixture is well browned, about 10 minutes. Check seasoning. Add broth and transfer skillet to oven. Bake, uncovered, until broth is absorbed and hash is crisp, 10 to 15 minutes.
04Meanwhile, cook brussels sprouts: Heat a small amount of butter or oil in a skillet over medium-high heat. Add slivered sprouts, salt and pepper; stir-fry briefly, until sprouts are just cooked, about 2 minutes. Stir in scallions and jalapeño. Spoon sprouts over hash mixture and set aside to keep warm.
05For each portion, cook 1 large egg sunny-side up. Top hash with fried eggs and garnish with cilantro sprigs.