Pat shrimp dry using paper towels to ensure optimal Maillard reaction during searing.
Season shrimp evenly with kosher salt and cracked black pepper.
Heat olive oil and 1 tablespoon of butter in a large stainless steel skillet over medium-high heat until the butter foam subsides.
Arrange shrimp in a single layer and sear without moving for 2 minutes; flip and sear for an additional 1 minute until opaque.
Reduce heat to medium and incorporate the remaining 2 tablespoons of butter and minced garlic into the skillet.
Sauté garlic for 60 seconds until aromatic, ensuring the temperature does not reach the burning point of garlic solids.
Stir in red pepper flakes and lemon juice to deglaze the pan and create a light sauce.
Remove skillet from heat source immediately to prevent overcooking.
Add grated parmesan cheese and chopped parsley, tossing the shrimp until a cohesive coating forms from the residual heat.
Serve immediately while the cheese emulsion is fluid.