To shorten prep time, skin, bone, and shred rotisserie chicken; add to sauce.
Preheat oven to 350°.
Place broth and 1/4 teaspoon pepper in a large skillet over medium-high heat, and bring to a boil. Add chicken; cover, reduce heat, and simmer 10 minutes or until chicken is done. Remove chicken from pan with a slotted spoon; set aside.
Combine milk, flour, and remaining 1/4 teaspoon pepper in a bowl; stir well with a whisk until smooth. Add milk mixture to broth in pan. Bring mixture to a boil over medium-high heat, stirring constantly. Cook 1 minute or until mixture thickens, stirring constantly. Remove from heat. Add 1 cup cheese and parsley, stirring until cheese melts.
Spread 1 cup sauce over bottom of a 13 x 9-inch baking dish coated with cooking spray. Arrange 3 lasagna noodles over sauce. Spoon 3/4 cup sauce evenly over noodles. Top evenly with one-third ham and one-third chicken. Repeat layers twice, ending with noodles. Top with remaining sauce. Sprinkle evenly 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.
Wine note: With a cue from the dish's overall unfussy character, the ideal wine needs to be inexpensive and uncomplicated. One of my favorite "comfort wines" to go with a comfort food like this is Australian shiraz. Annie's Lane Shiraz 2002 from Australia's Clare Valley ($15) is a simple blast of berriness with a soft texture. -Karen MacNeil