In a large pan over medium heat, melt half of the butter with the olive oil. Add the minced garlic and chili flakes and cook until they're fragrant, about 1 minute. Add the white wine, salt, and black pepper and bring it to a simmer. Allow the wine mixture to simmer for 2-3 minutes or until it is reduced by about half.
Add the shrimp to the pan and cook, stirring often, until just cooked through (about 2 to 4 minutes, depending on the size of your shrimp).
Add the lemon zest, lemon juice, and the remaining 2 tablespoons of butter, and mix to combine. Add the chopped parsley.
Taste and adjust the seasoning with additional salt, lemon juice, or more chili flakes, if desired. You can also adjust the consistency of the sauce with a little of the reserved pasta cooking water, if needed. Serve over pasta and garnish with Parmesan cheese, if desired.