Combine first 5 ingredients in a large bowl. Combine broth, salt, pepper, and soup in a medium bowl, stirring with a whisk. Add soup mixture to chicken mixture; toss.
Divide mixture evenly between 2 (8-inch) square or 2 (2-quart) baking dishes coated with cooking spray. Sprinkle 1/2 cup cheese over each casserole. Cover with foil coated with cooking spray.
Bake at 350° for 35 minutes. Uncover and bake an additional 10 minutes.
**Bake a frozen casserole, covered, for 55 minutes at 350°; uncover and bake an additional 10 minutes or until hot and bubbly.