Prepare ingredients by slicing chicken, chopping cabbage and carrot, mincing garlic, and grating ginger.
In a small bowl, whisk together soy sauce, rice vinegar, honey, minced garlic, and grated ginger to create the sauce.
Heat oil in a large skillet or wok over medium-high heat. Add chicken strips and sauté until golden brown and cooked through (about 5 minutes).
Add carrots and cabbage; stir-fry until cabbage wilts slightly (about 3 minutes).
Pour the sauce over the stir-fry and toss everything together until well coated; cook for an additional 2 minutes.
Serve hot with steamed rice or noodles.