In large saucepan, heat oil over medium heat. Add onion, carrots, and jalapeno pepper, cook, stirring often, for 6 minutes. Stir in tomatoes, garlic, green peppers, parsley, chili powder, cumin, oregano and salt. Bring to a simmer. Cook, covered for 20 minutes, stirring often.
Add beans, and cook for 25 minutes more. Add zucchini, and cook, uncovered, for 5 minutes, stirring occasionally.
Meanwhile, cook rice according to package directions. Mound on warm plates, spoon chili on top and sprinkle with cheese.