01 - Pat shrimp completely dry with paper towels. Season evenly with ¼ teaspoon each of salt and black pepper.
02 - Place a large skillet over medium-high heat. Add olive oil and 2 tablespoons butter. Allow butter to melt and begin foaming.
03 - Arrange shrimp in a single layer without overcrowding. Cook for 2–3 minutes per side until just pink and edges curl. Transfer 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 approximately 1 minute until fragrant but not browned.
05 - Add red pepper flakes if desired. Return shrimp to the skillet and 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 fresh lemon juice and sprinkle with chopped parsley. Serve immediately with additional Parmesan and lemon wedges on the side.