In a large pot, heat oil over medium heat. Add chopped prosciutto, onion, carrots, celery, 1 tablespoon Italian seasoning, 1/2 teaspoons salt, and 1/4 teaspoon pepper. Cook, stirring occasionally, until soft, 5 to 8 minutes.
Add garlic, cook, stirring occasionally, 1 minute
Add tomatoes, potato, cabbage or kale , broth; bring to a boil.
Reduce to a simmer and cook for 20 minutes.
Stir in diced zucchini, green beans, and minced basil, simmer for additional 10 minutes or until zucchini is cooked through.