Melt butter in a skillet over medium heat
Add chopped shallot and sauté until soft and translucent, about 3 minutes
Add minced garlic and cook until fragrant, about 30 seconds
Add shrimp, salt, black pepper, and red pepper flakes. Cook until shrimp are translucent but not entirely cooked through, about 3 minutes.
Add chicken broth and lemon zest. Bring heat to a gentle boil for 1 minute before reducing heat to simmer.
Remove from heat. Add spiralized zucchini noodles and chopped fresh parsley. Toss until zoodles are coated in broth.
Transfer shrimp noodles to colander to drain excess liquid
Serve with grated parmesan cheese and extra chopped parsley