Cook chow mein noodles according to package directions. Drain and set aside.
Mix cornstarch with chicken broth in a small bowl to create slurry. Add soy sauce, oyster sauce, and sesame oil. Whisk until smooth.
Heat oil in a large wok or skillet over medium-high heat.
Add sliced chicken breast and cook until golden brown and cooked through, about 5-6 minutes.
Add carrots and cabbage to the pan and sauté for 2-3 minutes until vegetables are tender-crisp.
Add cooked noodles to the pan and toss to combine.
Pour sauce mixture over everything and stir quickly to coat all ingredients evenly.
Cook for additional 1-2 minutes until sauce thickens slightly.
Remove from heat and garnish with chopped green onions before serving.