In a large skillet or saucepan, warm the olive oil over medium heat until it shimmers.
Add the minced garlic to the oil and sauté for about 1 minute, stirring frequently until aromatic and lightly golden.
Introduce the orzo to the skillet, stirring to coat it with the oil, and allow it to toast for 1-2 minutes.
Carefully pour in the vegetable broth and bring to a boil, then reduce the heat to a simmer. Cook for approximately 10 minutes, stirring occasionally, until the orzo is al dente and most of the broth has been absorbed.
Lower the heat and mix in the heavy cream and grated Parmesan cheese. Add the sea salt, black pepper, and crushed red pepper flakes if desired. Stir until the cheese melts and the mixture becomes creamy.
Remove the pan from heat and let the orzo rest for a couple of minutes to thicken the sauce.
Taste and adjust seasoning with more salt or pepper if necessary. Sprinkle the chopped parsley on top before serving.
Notes
For an elegant finish, serve in shallow bowls with a drizzle of olive oil and extra Parmesan shavings.