Prep your pan or skillet: Heat the oven to 425°F (220°C) and line a sheet pan with foil, or warm a large skillet over medium-high heat.
Mix the sauce: In a bowl, whisk together melted butter, olive oil, garlic, lemon zest, lemon juice, white wine (or broth), red pepper flakes, salt, and black pepper.
Add the shrimp: Pat shrimp dry with paper towels. Place them on the sheet pan or in the skillet and pour the sauce over.
Toss to coat evenly in a single layer.
Cook quickly: Bake for 7–9 minutes, or sauté 2–3 minutes per side. Shrimp are done when pink, opaque, and just curled into a loose “C.”
Finish with freshness: Sprinkle parsley over the shrimp. Taste and adjust salt, pepper, or lemon juice.
Add capers or Parmesan if using.
Serve immediately: Spoon over pasta or rice, or serve with crusty bread to soak up the sauce. Drizzle pan juices over the top for extra flavor.