Chow mein noodles are often labeled chuka soba. If you can't find them in the Asian section of the supermarket, substitute spaghetti or linguine. Chop and measure ingredients while you wait for water to boil.
4 servings (serving size: 1 1/2 cups noodle mixture, 1/4 cup onions, and 1 1/2 teaspoons peanuts)
Cook carrots, snow peas, and noodles in boiling water 3 minutes; drain.
Heat 2 teaspoons oil in a large nonstick skillet over medium-high heat. Cut chicken crosswise into thin strips. Add chicken and 1 tablespoon soy sauce to pan; stir-fry 3 minutes. Remove chicken from pan; keep warm.
Combine remaining 2 tablespoons soy sauce, broth, oyster sauce, sugar, and pepper, stirring well. Heat remaining 1 teaspoon oil over medium-high heat. Add mushrooms and ginger to pan; stir-fry for 3 minutes. Add broth mixture, and cook for 1 minute. Add noodle mixture and chicken to pan; cook 1 minute, tossing to combine. Sprinkle with onions and peanuts.