01 - Combine shrimp with olive oil, minced garlic, salt, pepper, and lemon zest in a bowl. Let marinate for 10 minutes while preheating grill to medium-high heat or preparing a grill pan.
02 - Thread marinated shrimp onto skewers, reserving any remaining marinade in the bowl for later use.
03 - Melt butter with olive oil in a small saucepan over medium heat. Add capers and cook for 1 minute. Pour in white wine and lemon juice; simmer for 2 minutes until slightly reduced. Stir in parsley and remove from heat.
04 - Grill shrimp skewers for 2-3 minutes per side until opaque and lightly charred. During the final minute of cooking, brush shrimp generously with piccata sauce.
05 - Transfer skewers to a serving platter. Drizzle with remaining piccata sauce and sprinkle with additional parsley. Accompany with fresh lemon wedges.