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!.How to make Asian Chicken Noodle Soup. Saute garlic and ginger in a little bit of sesame oil. Add carrots, mushrooms and salt. Pour in chicken stock, soy sauce and vinegar. Bring to a boil and reduce to a simmer. Nestle chicken in, and simmer until cooked through, about minutes..