01 - Pat shrimp completely dry with paper towels. Season evenly with 0.25 teaspoon each of salt and black pepper.
02 - Place a large skillet over medium-high heat. Add olive oil and 2 tablespoons butter. Swirl to combine as butter melts.
03 - Arrange seasoned shrimp in a single layer across the hot skillet. Cook for 2 to 3 minutes per side until just pink and edges begin to curl. Transfer cooked shrimp to a clean plate.
04 - Reduce heat to medium. Add remaining 1 tablespoon butter and minced garlic to the skillet. Stir constantly for approximately 1 minute until garlic becomes fragrant but not browned.
05 - Sprinkle red pepper flakes over garlic butter if desired. Return seared shrimp to the skillet. Toss thoroughly to coat each piece in the aromatic butter mixture.
06 - Distribute freshly grated Parmesan cheese evenly over the shrimp. Allow cheese to melt for 1 minute while the skillet remains on the heat.
07 - Remove skillet from heat immediately. Drizzle lemon juice across the entire dish and sprinkle with chopped fresh parsley. Serve piping hot with additional Parmesan and lemon wedges on the side.