Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper for easy cleanup.
In a mixing bowl, combine the melted butter, minced garlic, olive oil, salt, and pepper. Whisk together until the mixture is fragrant and well blended. You'll notice the garlic releasing a rich aroma as you mix.
Add the peeled and deveined shrimp to the bowl and toss gently to coat each piece thoroughly with the garlic butter mixture. Ensure all the shrimp are evenly coated and glistening.
Spread the coated shrimp in a single layer on the prepared baking sheet, leaving space between each to promote even roasting. You should see a slight sheen on the shrimp from the butter.
Pry the baking sheet into the oven and roast for about 8-10 minutes, until the shrimp turn pink and are opaque. You might hear a gentle sizzle and see the edges start to crisp and brown a little around the edges.
Remove the shrimp from the oven, sprinkle generously with grated Parmesan cheese, and toss gently to combine. The cheese will melt slightly, adding a savory richness and a slightly crispy topping.
Transfer the shrimp to a serving platter and serve immediately, allowing the fragrant garlic, buttery coating, and crispy edges to be enjoyed hot and fresh. Garnish with extra Parmesan if desired.