Heat the vegetable oil in a large pot on medium-high heat. Stir in the quinoa, carrot, celery, onion, bell pepper, and garlic. Cook for a few minutes, until lightly browned, stirring frequently.
Pour in the chicken broth, water, tomatoes, and cabbage. Increase heat to high and bring to a boil. Reduce heat to medium and simmer until the quinoa and vegetables are tender, about 10 minutes. Season to taste with salt and pepper. Garnish with parsley before servings.