Combine first 10 ingredients in a large electric slow cooker.
Cover with lid, and cook on high-heat setting for 6 hours.
Add zucchini and next six ingredients (everything but the Parmesan); cover and cook on high-heat setting for an additional 30 minutes or until beans are tender.
Ladle into soup bowls and sprinkle with cheese.
Notes
Makes 8 servings (serving size 1 1/2 cup); Calories 287 per serving; Fat 3.6 per serving, Fiber 7.3 per serving