Grate the lemon zest carefully, avoiding white pith to prevent bitterness. Mince garlic finely and chop parsley. Measure cream and cheese to have everything ready for quick assembly.
Bring a large pot of salted water to a boil. Cook pappardelle according to package instructions until al dente. Reserve a small cup of pasta water for adjusting sauce consistency if needed.
In a large skillet, melt butter over medium heat until frothy. Sauté garlic briefly, then add lemon zest and juice. Whisk in cream and gradually add Parmesan, stirring to create a smooth sauce.
Drain pasta and transfer it directly to the skillet. Toss with the sauce until every ribbon is coated. Add a splash of reserved pasta water if the sauce is too thick.
Season with salt and pepper to taste. Sprinkle chopped parsley and extra lemon zest on top before serving. Serve immediately for the best silky texture.