Prepare the Chicken:
In a mixing bowl, toss the chicken slices with 1 tablespoon of soy sauce and let marinate for 10 minutes while preparing the other ingredients.
Make the Sauce:
In a small bowl, whisk together soy sauce, oyster sauce, hoisin sauce, sesame oil, cornstarch, and water. Set aside.
Cook the Chicken:
Heat 1 tablespoon of oil in a wok or large skillet over medium-high heat. Add the chicken and stir-fry for 4–5 minutes until cooked through. Remove from the pan and set aside.
Stir-Fry Vegetables:
Add the remaining oil to the pan. Stir-fry garlic, ginger, and green onions for 30 seconds until fragrant.
Add the shredded cabbage and carrots. Stir-fry for 3–4 minutes until slightly softened but still crisp.
Combine and Cook:
Return the chicken to the pan and pour in the prepared sauce. Stir well to coat everything evenly. Cook for another 1–2 minutes until the sauce thickens and everything is heated through.
Serve:
Serve the stir-fry hot over steamed rice or noodles. Garnish with sesame seeds or additional green onions if desired.