Heat 1 tablespoon olive oil in a large skillet over medium heat. Add 1 ½ cup diced onion,, 1 cup diced carrot,, and ⅓ cup diced celery, and cook for 2-3 minutes, until the vegetables start to soften.
Slice 1 pound boneless, skinless chicken breasts, into strips and add them to the skillet. Cook for about 5-6 minutes, until the chicken is no longer pink.
Stir in 1 (14.5-ounce) can crushed tomatoes with basil, oregano, and garlic, ¼ cup grated parmesan cheese,1 tablespoon chopped fresh basil, ½ teaspoon salt, and ¼ teaspoon ground black pepper. Bring to a boil before reducing the heat to medium-low. Simmer for about 10 minutes before serving over rice or pasta.