In a large saucepan, melt the butter over medium heat. Add the minced garlic and sauté for about 1 minute until fragrant.
Add the orzo pasta to the pan, stirring well to coat with the butter. Toast the orzo for 2-3 minutes until it begins to turn golden brown.
Pour in the chicken broth and bring to a boil. Reduce heat to low and cover the pan. Simmer for 10-12 minutes, stirring occasionally, until the orzo is tender and most of the liquid is absorbed.
Stir in the heavy cream, Parmesan cheese, and lemon zest. Cook for an additional 2-3 minutes, until the cheese is melted and the sauce thickens.
Season with salt and pepper to taste. Remove from heat and let sit for a couple of minutes to thicken further.
Garnish with chopped parsley and serve immediately. Enjoy your creamy orzo pasta!