Bring a large pot to medium heat and add olive oil.
Sauté garlic until fragrant, about 1 minute.
Add broth, cream, lemon juice, and zest. Stir until combined.
Add the pasta straight into the pot and simmer, stirring often, until pasta is cooked and sauce thickens.
Stir in Parmesan until creamy and smooth.
Season with salt and pepper to taste.
Garnish with fresh parsley and serve warm.