Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.

In a mixing bowl, combine olive oil, minced garlic, smoked paprika, salt, and pepper to create a marinade. Add shrimp and toss to coat.

Sprinkle grated Parmesan cheese and chopped parsley over the shrimp and toss again to combine.

Spread the shrimp mixture in a single layer on the prepared baking sheet.

Roast the shrimp in the oven for about 8–10 minutes, until they are pink and opaque.

Remove from the oven, transfer to a serving platter, and garnish with extra parsley. Serve immediately with lemon wedges.