01 - Preheat oven to 400°F. Lightly grease a baking dish large enough to arrange fillets in a single layer.
02 - Pat halibut fillets dry with paper towels and place them evenly in the prepared dish.
03 - In a small bowl, whisk together olive oil, lemon zest, lemon juice, salt, and black pepper. Pour the mixture evenly over the fillets.
04 - Bake fillets for 15 to 18 minutes, until opaque and flaky when tested with a fork.
05 - While baking, gently melt butter over low heat in a small saucepan. Stir in capers, garlic, parsley, and Dijon mustard if using. Warm for 1 to 2 minutes.
06 - Remove halibut from oven and spoon warm lemon-caper sauce over each fillet. Garnish with lemon slices and additional parsley if desired.
07 - Serve immediately accompanied by preferred sides such as steamed asparagus, roasted potatoes, or a light salad.