Preheat oven to 350 degrees F. Grease a 13x9x2-inch baking dish or 3-quart oval casserole; set aside.
Cook orzo according to package directions, adding green beans during last 3 minutes of cooking; drain. Meanwhile, cut chicken in 6 pieces; set aside.
In large bowl whisk together cheese and milk until combined. Add hot orzo mixture; stir until coated. Stir in shredded carrots. Spoon into prepared baking dish. Top with chicken pieces.
Bake, covered, 30 to 40 minutes or until heated through. Let stand 5 minutes. Sprinkle with parsley. Serves 6.