Bring a large pot of salted water to a boil. Cook the spaghetti according to package instructions until al dente. Drain and set aside.
In a large skillet, heat olive oil over medium heat. Add minced garlic and sauté until fragrant, about 1-2 minutes.
Add the shrimp to the skillet and cook until pink and opaque, about 2-3 minutes on each side. Season with salt and pepper to taste.
Add the cooked spaghetti, lemon zest, and lemon juice to the skillet. Toss everything together until well combined and heated through.
Serve the spaghetti with lemon garlic shrimp hot, garnished with chopped parsley.