1. Marinate the Chicken:
In a bowl, combine the chopped chicken with soy sauce, corn starch, and black pepper. Let it marinate for at least 10 minutes while preparing the other ingredients.
2. Prepare the Sauce:
In a small bowl, mix together soy sauce, oyster sauce, hoisin sauce (if using), sesame oil, chicken broth, and sugar. Set aside.
3. Cook the Chicken:
Heat 1 tablespoon of vegetable oil in a large skillet or wok over medium heat. Add the marinated chicken and cook for 3-4 minutes until nearly cooked through and lightly browned. Remove the chicken from the pan and set aside.
4. Stir-Fry the Vegetables:
Add the remaining tablespoon of oil to the pan. Sauté chopped garlic and ginger for 30 seconds until fragrant. Add broccoli florets and carrots, and stir-fry until the vegetables are tender, about 4-5 minutes.