In a large mixing bowl, combine the peeled and deveined shrimp with the minced garlic, olive oil, lemon zest, lemon juice, smoked paprika, dried oregano, salt, and pepper.
Toss everything together until the shrimp are well coated with the marinade.
Spread the shrimp in a single layer on a baking sheet lined with parchment paper.
Roast in the preheated oven for about 8-10 minutes, or until the shrimp are pink and opaque.
Remove from the oven and let sit for a minute before garnishing with freshly chopped parsley.
Serve immediately with lemon wedges on the side for extra zing.