Preheat oven to 350.
Place broth and 1/4 tspn pepper in a large skillet over medium high heat, and bring to boil. Add chicken, cover reduce heat, and simmer for 10 minutes or until chicken is done. Remove chicken from pan with a slotted spoon, set aside. (Skip this step if using a rotisserie chicken).
Combine milk, flour, and remaining 1/4 tspn pepper in a bowl. Stir well with a whisk until smooth. Add milk mixture to chicken broth in pan. Bring mixture to a boil over medium-high heat, stirring constantly. Cook one minute, or until mixture thickens, stirring constantly. Add 1 cup cheese and parsley, stirring until cheese melts. (If using rotisserie chicken, add to sauce now).
Spread 1 cup sauce over bottom of a 13x9 inch baking dish coated with cooking spray. Arrange 3 lasagna noodles over the sauce. Spoon 3/4 cup sauce evenly over noodle tops. Top evenly with 1/3 ham and 1/3 chicken. Repeat layers twice, ending with noodles. Top with remaining sauce. Sprinkle evenly with with remaining 1/2 cup cheese.
Cover with foil very lightly coated with cooking spray, bake at 350 for 30 minutes. Remove and discard foil, bake 10 minutes or until the cheese lightly browns. Sprinkle with parsley if desired.