Prepare the zucchini noodles: Spiralize the zucchini, place in a colander, toss with salt, and let sit for 10 minutes to draw out moisture.
Prep the shrimp: Pat shrimp completely dry with paper towels and season lightly with salt and pepper.
Make the garlic lemon mixture: Combine minced garlic, lemon juice, lemon zest, and red pepper flakes in a small bowl.
Drain the zucchini: Press gently with paper towels to remove released water.
Cook the shrimp: Heat 2 tablespoons olive oil in a large skillet over medium-high heat. Cook shrimp 2 minutes per side until pink and opaque. Remove to a plate.
Cook the zucchini noodles: Add 1 tablespoon olive oil to the same skillet. Cook zucchini noodles 2-3 minutes, tossing frequently, just until slightly softened.
Combine everything: Reduce heat to low. Return shrimp to the pan, pour in garlic-lemon mixture, and toss for 30-60 seconds.
Finish and serve: Stir in fresh parsley and serve immediately with lemon wedges.