In a 9x13-inch casserole dish, combine the dressing, soup mix and cranberry sauce. Add the chicken and turn to coat.
Cover the casserole dish either with a lid or with foil. Bake for 30 minutes. Remove the cover and cook for an additional 15 minutes. Check after 15 minutes to see if chicken is cooked through. Time depends on how thick your chicken breasts are. If not finished, bake an additional 10 to 15 minutes.
The chicken can be served by itself or over rice with the sauce drizzled on top.