Heat the oil in a large nonstick skillet over medium-high heat. Add the garlic and ginger and cook, stirring constantly, for 30 seconds. Add the cabbage and carrots and cook for about 4 minutes or until just wilted.
Push the vegetable to the side of the pan and add the eggs. Cook, stirring constantly, until scrambled. Mix with the vegetables, add the chicken and continue cooking until meat is warmed through. Drizzle with soy sauce, toss to coat, and serve over rice.
