Preheat your oven to 400°F (200°C).

In a medium bowl, combine Parmesan cheese, breadcrumbs, minced garlic, melted butter, olive oil, lemon juice, salt, and pepper until the mixture resembles wet sand.

Line a baking sheet with parchment paper and place the halibut fillets on it.

Press the crust mixture onto each halibut fillet, about 1/4-inch thick.

Bake the halibut in the preheated oven for 12-15 minutes until golden-brown and flaky.

Remove from the oven, let it rest for a minute, then serve garnished with parsley and lemon wedges.