Directions. Mix soy sauce, mirin, teaspoon of the sesame oil, garlic, ginger, sugar, vinegar, and chile paste in a small bowl. Heat the broth in a medium saucepan. Add the soy sauce mixture, the chicken, and the vegetables and bring to a boil. Pour over prepared Chinese noodles. Garnish with cilantro and scallions..Get Asian Chicken Noodle Soup Recipe from Food Network..Asian Chicken Noodle Soup. votes. Did you make this recipe? Leave a review. Chicken noodle soup with a delicious Asian flair!.This broth packs a lot of flavor in just a little time. If you don t have the Sriracha on hand, thin slices of jalapeno pepper make a good substitute..