Super Quick Minestrone

Name: Super Quick Minestrone
Ingredients: 1 cup (4 ounces) tubetti pasta, or other small pasta shape; Extra-virgin olive oil; 6 cups chicken stock; 1/4 pound pancetta, cut into 3 pieces; 6 medium garlic cloves, each cut in 1/2 lengthwise; 2 cups finely chopped yellow onions (2 small onions); 1 cup small-diced celery (2 medium stalks); 1 cup small-diced carrots (2 to 3 medium carrots); 1 tablespoon finely chopped rosemary or thyme leaves; 1 (14-ounce) can cannellini beans, drained and rinsed; 1 (14 1/2-ounce) can diced tomatoes; 4 cups small-diced zucchini (green/yellow) (5 small zucchini); 2 cups small-diced, peeled russet potatoes (1 large russet); Salt and freshly ground black pepper; 1 cup freshly grated Parmesan