Melt butter in a large pan over medium heat. Add the shallot and saute until soft, about 3-4 minutes. Add the garlic and saute until fragrant, about 1 minute.
Add shrimp, salt, pepper, and red pepper flakes. Toss to coat the shrimp in butter. Add the white wine, lemon zest, and lemon juice. Bring to a simmer, and cook until the shrimp are opaque in the center and fully cooked through.
Add the zucchini noodles and parsley, and toss to coat in the sauce. Cook for 1 minute, then remove immediately from heat. Sprinkle with parmesan before serving, and enjoy!