Preheat your grill or a grill pan over medium-high heat.
In a bowl, toss the shrimp with olive oil, garlic powder, paprika, salt, and black pepper until evenly coated.
Thread the shrimp onto skewers, if using, for easier grilling.
Grill the shrimp for 2-3 minutes on each side, or until they turn pink and opaque.
Remove the shrimp from the grill and let them cool slightly.
Arrange the shrimp on a serving platter with lemon wedges and a bowl of cocktail sauce in the center.
Garnish with fresh parsley before serving.