Heat the oil in a 2-quart saucepan over medium-high heat. Add the shallot and garlic and cook for 2 minutes, stirring occasionally. Add the peppers and quinoa and cook for 2 minutes, stirring occasionally.
Stir in the broth and heat to a boil. Reduce the heat to low. Cover and cook for 20 minutes or until the quinoa is tender and the liquid is absorbed. Stir in the parsley. Season, if desired.