01 - Preheat oven to 400°F. Lightly grease a baking dish sufficient to fit fillets in a single layer.
02 - Pat halibut fillets dry with paper towels and arrange them evenly in the prepared dish.
03 - Whisk together olive oil, lemon zest, lemon juice, salt, and black pepper; pour mixture evenly over the fillets.
04 - Bake in the preheated oven for 15-18 minutes until the fish is opaque and flakes easily with a fork.
05 - While baking, melt butter in a small saucepan over low heat. Stir in capers, garlic, parsley, and Dijon mustard if used; warm gently for 1-2 minutes.
06 - Remove halibut from oven, spoon warm sauce over each fillet, garnish with lemon slices and extra parsley, then serve promptly.