01 - Preheat the oven to 400°F. Lightly grease a baking dish large enough to arrange the fillets in a single layer.
02 - Pat the halibut fillets dry using paper towels and place them in the prepared baking dish.
03 - In a small bowl, whisk together olive oil, lemon zest, lemon juice, salt, and black pepper. Drizzle evenly over the fillets.
04 - Bake for 15 to 18 minutes until the fish is opaque and flakes easily with a fork.
05 - Meanwhile, melt the butter over low heat in a small saucepan. Stir in capers, garlic, parsley, and Dijon mustard if using. Warm gently for 1 to 2 minutes.
06 - Remove the halibut from the oven. Spoon the warm lemon-caper sauce over each fillet. Garnish with lemon slices and additional parsley as desired. Serve immediately.