Preheat your oven to 400°F (200°C).
In a mixing bowl, combine the grated parmesan cheese, breadcrumbs, minced garlic, melted butter, olive oil, lemon juice, salt, and black pepper. Mix well until all ingredients are evenly incorporated.
Line a baking sheet with parchment paper and place your halibut fillets on it in a single layer.
Generously press the parmesan mixture onto the top of each halibut fillet.
Place the baking sheet in your preheated oven and bake for about 12-15 minutes until the fish flakes easily when tested with a fork.
Once done, remove from the oven and garnish with chopped parsley before serving hot.