Chicken Minestrone Soup

Name: Chicken Minestrone Soup
Ingredients: 4 tablespoons olive oil, divided; 0.5 pound skinless, boneless chicken breast, cut into bite-sized pieces; 1 cup chopped onion; 2 cloves garlic, minced; 0.5 cup sliced carrot; 0.5 cup chopped celery; 5 cups chicken stock; 1 (14.5 ounce) can diced tomatoes with basil, garlic, and oregano; 1 (15.5 ounce) can cannellini beans, drained and rinsed; 1 (15.5 ounce) can kidney beans, drained and rinsed; 1 (6 ounce) can tomato paste; 1 small zucchini, quartered lengthwise and cut into 1/2 inch slices; 0.5 cup frozen cut green beans; 1 teaspoon Italian seasoning; 0.5 cup ditalini pasta; salt and freshly ground black pepper to taste; 0.33 cup grated Parmesan cheese, or more to taste; 2 teaspoons chopped fresh parsley