Cook spaghetti in salted boiling water according to package instructions until al dente.
While the pasta cooks, heat olive oil in a large skillet over medium heat.
Add minced garlic to the skillet and sauté until fragrant, about 1-2 minutes.
Remove the skillet from heat to avoid burning the garlic.
Once the pasta is cooked, reserve 1 cup of pasta water and drain the rest.
Add the drained pasta to the skillet with garlic.
Stir in lemon zest and juice, mixing well to coat the pasta.
If needed, add reserved pasta water to achieve desired consistency.
Season with salt and pepper to taste, and mix in chopped parsley.
Serve immediately, garnishing with more parsley and grated Parmesan, if desired.