In a medium saucepan, melt the butter over medium heat.
Add the minced garlic and sauté for about 1-2 minutes until fragrant but not browned.
Stir in the orzo pasta and toast it in the garlic butter for about 2-3 minutes, stirring occasionally.
Gradually pour in the vegetable broth, stirring to combine. Bring the mixture to a gentle boil, then reduce the heat to low, cover, and let it simmer for about 10-12 minutes, or until the orzo is tender and the liquid is mostly absorbed.
Once the orzo is cooked, stir in the heavy cream, grated Parmesan cheese, and lemon zest. Mix until the cheese has completely melted and the sauce is creamy.
Season with salt and pepper to taste, adjusting according to your preference.
Remove from heat and let sit for a minute to thicken slightly.
Serve warm, garnished with chopped fresh parsley for added color and flavor.