Heat a large nonstick saucepan over medium-high heat and lightly coat with cooking spray.
Add the ground turkey and season with ½ teaspoon salt and ½ teaspoon pepper. Cook, crumbling with a wooden spoon, until the turkey is cooked through. Transfer to a bowl and discard any liquid.
Heat the olive oil in the same saucepan, reducing the heat to medium.
Add the onion, carrot and celery. Cook, stirring occasionally, until the onion is translucent, about 5 minutes. Stir in the garlic, Italian seasoning and bay leaves. Cook for 1 minute.
Add the green and red bell pepper, crushed tomatoes, tomato sauce, chicken broth, cooked ground turkey, ¼ teaspoon salt and ¼ teaspoon pepper to the saucepan. Stir to combine.
Bring the mixture to a boil, then reduce heat so that the soup cooks at a lively simmer. Cook for 25 minutes.
Add the instant brown rice and cook for additional 10 minutes, or until the rice is tender.
Remove from the heat, remove and discard the bay leaves, stir in the parsley and adjust the seasoning, if necessary. Serve.