01 - Preheat the oven to 400°F and lightly grease a baking dish large enough to hold the fillets in a single layer.
02 - Pat halibut fillets dry with paper towels and arrange them in the prepared baking dish.
03 - In a small bowl, whisk together olive oil, lemon zest, lemon juice, salt, and pepper; pour evenly over the fillets.
04 - Bake for 15 to 18 minutes until the fish is opaque and flakes easily with a fork.
05 - While baking, melt butter in a small saucepan over low heat, then stir in capers, garlic, parsley, and Dijon mustard if using; warm gently for 1 to 2 minutes.
06 - Remove fillets from the oven, spoon warm lemon-caper sauce over each, garnish with lemon slices and extra parsley, and serve immediately.