Use a mandolin fitted with a julienne blade or a spiralizer to cut the zucchini into noodles. Cut the strips into 6 to 8 inch strips.
In a large nonstick pan, melt the butter and 1 teaspoon olive oil over medium heat. Add the garlic and saute for 1 minute. Add the shrimp, kosher salt, and the pepper and saute until the shrimp have just turned pink, about 5 minutes, stirring often. Set aside.
Add the remaining oil and garlic to the skillet, cook 30 seconds then add the zucchini noodles, kosher salt and pepper. Cook 2 minutes, stirring.
Remove from the heat, add the shrimp, parsley, lemon zest, lemon juice, and red pepper flakes. Toss well to combine and serve immediately.