Prepare the shrimp by peeling and deveining them. Rinse under cold water and pat dry. Season lightly with salt and pepper.
Cook the orzo in salted boiling water according to package instructions, usually 8-10. Drain and set aside.
In a large skillet, melt 2 tablespoons of butter over medium heat. Add minced garlic and sauté for 1 until fragrant. Add shrimp and cook for 2-3 minutes on each side until pink and opaque. Remove shrimp and set aside.
In the same skillet, add chicken broth, lemon juice, and lemon zest. Bring to a simmer. Stir in heavy cream and remaining butter, cooking for another 2-3 until sauce thickens. Add cooked orzo and shrimp back into the skillet, stirring gently to combine. Cook for an additional 2 to heat through. Stir in Parmesan cheese and parsley before serving.