Add chicken pieces. Allow the chicken to brown one side before turning. Add the sliced peppers and onions. Cook the chicken until lightly browned.
While the chicken is cooking, combine grated garlic and ginger, red pepper flakes, orange juice, brown sugar, ketchup, apple cider vinegar, soy sauce, and cornstarch. Stir to combine throughly until the cornstarch is resolved in the mixture.
Add the sauce to the skillet with the chicken and bring to a simmer as mixture thicken. Stir to coat the chicken in the sauce.