Preheat the oven to 400°F (200°C). Line a baking sheet with parchment paper.

In a medium bowl, combine grated parmesan cheese, breadcrumbs, minced garlic, melted butter, olive oil, lemon juice, salt, and pepper. Stir well until the mixture resembles moist sand that clumps together. Let this mixture rest for 5 minutes.

Place the halibut fillets on the prepared baking sheet and pat them dry with a paper towel.

Press the crust mixture onto each halibut fillet, creating a thick, even layer.

Bake the halibut for 12-15 minutes until the crust is golden brown and the fish flakes easily.

Remove from the oven, garnish with fresh parsley, and serve immediately with lemon wedges.