Stir in orzo pasta and toast lightly for 1 to 2 minutes.
Pour in warmed vegetable broth, stir, and bring to a gentle simmer.
Reduce heat to medium-low. Cook uncovered, stirring occasionally, for 10 to 12 minutes, or until the orzo is tender and most of the liquid is absorbed.
Lower heat and stir in heavy cream and grated Parmesan. Cook for 2 to 3 minutes until the mixture is creamy.
Season with salt, black pepper, and red pepper flakes if desired. Stir in chopped parsley. Serve hot, garnished with extra Parmesan and parsley as preferred.