01 - Pat shrimp completely dry with paper towels and season evenly with ¼ teaspoon each of salt and black pepper.
02 - Heat a large skillet over medium-high heat. Add olive oil and 2 tablespoons of butter, swirling to coat the pan.
03 - Once butter is melted and foaming, arrange shrimp in a single layer. Cook for 2–3 minutes per side until just pink and curled. Remove shrimp to a clean plate.
04 - Reduce heat to medium. Add remaining 1 tablespoon butter and minced garlic to the skillet. Cook, stirring constantly, for about 1 minute until fragrant but not browned.
05 - Add red pepper flakes if using and return shrimp to the skillet. Toss thoroughly to coat in the garlic butter mixture.
06 - Sprinkle Parmesan cheese evenly over the shrimp. Allow to melt for 1 minute, stirring gently to distribute.
07 - Remove from heat. Drizzle with lemon juice and top with fresh parsley. Serve immediately with extra Parmesan and lemon wedges.