Bring first 3 ingredients to a boil in a large skillet; add chicken. Cover, reduce heat, and simmer 15 minutes, turning chicken after 8 minutes. Remove chicken from skillet. Set aside; keep warm.
Bring cooking liquid to a boil; cook 5 minutes or until reduced to 2/3 cup. Combine 1 tablespoon water and cornstarch; add to skillet. Bring to a boil; cook 1 minute, stirring constantly. Add cream cheese; cook until well-blended, stirring constantly with a whisk. Serve chicken over rice; spoon sauce over chicken. Sprinkle with parsley.