Pat the shrimp dry with paper towels and season them with the salt and black pepper.
Heat the olive oil and 2 tablespoons of the butter in a large skillet over medium heat until the butter melts.
Add the minced garlic to the skillet and cook for 30 seconds until fragrant, then add the shrimp in a single layer.
Cook the shrimp for 2 minutes per side until they turn pink and opaque, then remove them from the skillet and set aside.
Add the remaining 2 tablespoons of butter to the skillet along with the zucchini noodles. Toss gently for 2 to 3 minutes until the noodles are just warmed through but still firm.
Return the shrimp to the skillet, add the lemon juice and chopped parsley, and toss everything together for 1 minute to combine.