Prepare the Sauce: In a small bowl, whisk together oyster sauce, soy sauce, sesame oil, chicken broth, cornstarch, and sugar until smooth. Set aside.
Cook the Noodles: Boil the chow mein noodles until al dente according to package instructions. Rinse under cold water to stop cooking, then drain well.
Cook the Chicken: Heat 1 tbsp vegetable oil in a large skillet or wok over medium heat. Add the sliced chicken and sauté until fully cooked and lightly browned. Remove from the skillet and set aside.
Sauté the Vegetables: In the same skillet, add the remaining 1 tbsp of oil. Add garlic, carrots, and cabbage, and sauté for about 3-4 minutes until the vegetables begin to soften.
Combine Ingredients: Return the chicken to the skillet. Add the cooked noodles and pour the sauce over the top. Toss everything together and simmer for 2-3 minutes until heated through and the sauce thickens.
Serve: Garnish with chopped green onions and serve hot directly from the skillet.
