Pat the shrimp dry with paper towels. In a bowl, stir together the melted butter, minced garlic, paprika, salt, and pepper.
Toss the shrimp in half of the garlic butter mixture until evenly coated. Place the shrimp in a single layer in the air fryer basket.
Air fry the shrimp at 400 degrees F for 6 to 8 minutes, shaking the basket halfway through, until the shrimp turn pink and slightly crisp at the edges.
While the shrimp cook, place the zucchini noodles in a large bowl. Drizzle them with the lemon juice and the remaining garlic butter mixture, then toss gently to coat.
Divide the zucchini noodles among four plates. Top each portion with the cooked shrimp and sprinkle with the chopped parsley before serving.