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 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, then simmer for 2 minutes until slightly reduced. Stir in parsley and remove from heat.
04 - Grill skewers for 2-3 minutes per side until shrimp are opaque and lightly charred. During the final minute of cooking, brush shrimp generously with piccata sauce.
05 - Arrange skewers on a serving platter. Drizzle with remaining piccata sauce, sprinkle with additional fresh parsley, and serve with lemon wedges alongside.