You can use brown rice instead of wild rice without changing the cooking time for this soup. Slideshow: More Turkey Soup Recipes
In a large heavy pot, heat the butter over medium heat until hot, stir the onions, carrots, celery, 3/4 teaspoon salt, and 1/2 teaspoon pepper and cook, stirring occasionally, until golden, 8 to 10 minutes. Stir in the turkey, stock, and rice, then bring to a gentle boil. Cook the soup, stirring occasionally, until the turkey is cooked through and the rice is tender and opened, about 40 minutes. Season the soup with salt and pepper to taste and serve topped with the parsley.