In a bowl combine the chicken, soy sauce, 2 tablespoons rice wine vinegar and 1 tablespoon sesame oil in medium bowl to blend.
Let stand 20 minutes or refrigerate up to 2 hours.
In another bowl combine the garlic, tahini, ginger, sugar, vinegar, and chili flakes and whisk to combine.
Heat remaining 1 tablespoon sesame oil in heavy large pot over medium-high heat.
Add cabbage and green onions and saute until cabbage is tender, about 5 minutes. Add broth and bring to boil.
Add chicken with marinade and tahini-garlic mixture.
Reduce heat to low and simmer until chicken is cooked through, about 5 minutes.
Can be made 1 day ahead. Cool slightly; cover and refrigerate. Bring to simmer before continuing.
Cook noodles in large pot of boiling salted water until tender, about 5 minutes. Drain.
Add the noodles to the soup in pot. Stir in half of cilantro or parsley if using.
Season soup with salt and pepper.
Sprinkle with remaining cilantro.