How to Make It
Combine 1 tablespoon oil and next 6 ingredients (through soy sauce); reserve 3 tablespoons. Combine remaining soy sauce mixture and chicken in a zip-top bag; seal. Let stand at room temperature 30 minutes, turning occasionally.
Remove chicken from bag; reserve marinade. Bring reserved marinade and 3 cups stock to a boil in a large Dutch oven. Add chicken; reduce heat, and simmer 10 minutes or until done. Remove chicken from pan. Place cooking liquid in a bowl; reserve. When cool, shred chicken into large pieces.
Heat pan over medium-high heat. Add remaining 1 tablespoon oil; swirl. Add onion and crushed garlic cloves; sauté 5 minutes. Add reserved cooking liquid and quinoa; bring to a boil. Cover, reduce heat, and simmer 12 minutes (quinoa will be slightly undercooked). Reserve 3 1/2 cups quinoa mixture for Quinoa Salad with Bacon and King Ranch Chicken and Quinoa Casserole. Add remaining 3/4 cup stock, pepper, salt, coconut milk, and ginger slices to remaining 2 cups quinoa mixture in pan; bring to a simmer. Cover and cook 15 minutes, stirring occasionally. Divide among 4 bowls; top evenly with chicken, reserved 3 tablespoons soy sauce mixture, and green onions.