Following directions on package, cook the noodles and drain, reserving 1/2 cup cooking liquid.
Meanwhile, prepare stir fry: In a wok or large skillet set over moderately high heat, warm the oil until it is hot, add the gingerroot and garlic and stir-fry 30 seconds. Add onion, carrots, and celery, and stir-fry 2 minutes. Add mushrooms and stir-fry 3 minutes more. Add chicken and broccoli and stir-fry until chicken is no longer pink.
Add seasonings from the ramen packages along with the Szechuan sauce and stir-fry 1 minute. Add the reserved 1/2 cup cooking liquid and let simmer, stirring occasionally until chicken is thoroughly cooked. Add the noodles to the pan and cook, stirring just until heated through. Season with the chili paste and cilantro.