In a large pot, heat the olive oil over medium heat. Add the minced garlic and red pepper flakes, sautéing for about 1 minute until fragrant.
Pour in the vegetable broth and bring to a boil.
Add the uncooked pasta to the pot, stirring well to combine. Reduce heat to medium-low and cover. Cook for about 10-12 minutes, stirring occasionally, until the pasta is al dente and most of the liquid is absorbed.
Stir in the heavy cream and grated Parmesan cheese until well combined. Season with salt and pepper to taste.
Remove from heat and let it sit for a couple of minutes to thicken.
Serve hot, garnished with fresh parsley.