Cook quinoa according to package directions. Transfer cooked quinoa to a large bowl and let cool.
Pour olive oil into a large skillet over medium heat. Add chicken and roasted garlic, stirring it all around to coat with oil. Sprinkle with smoked paprika and salt. Stir and cook until chicken is done, about 8 minutes. Add cooked chicken, oranges, and avocado to the quinoa. Stir to combine. Set aside.