In a large Dutch oven or stockpot set over medium heat, add the olive oil. When the oil is hot add the celery, onion, bell peppers, and zucchini. Cook until veggies are tender, about 5-7 minutes, then add the jalapeño and garlic and continue sautéing for 2 minutes.
Pour in the diced tomatoes along with the chicken broth, turn the heat up and bring to a boil. Add the chicken, oregano, salt, pepper and red pepper flakes, reduce heat and simmer for 20 minutes. Add the pasta and cook until al dente, about 10 minutes or so, then remove from the heat and stir in the parsley and cream. Allow to cool for 10 minutes.
Garnish with grated or shaved parmesan, serve immediately.