Bring a large pot of water to a boil. Add noodles and cook according to package directions. Drain water.
Heat a large skillet over medium heat. Add peanut oil. Add the carrots, cabbage and onion. Cook for 1 to 2 minutes. Add the chicken broth, soy sauce and sesame oil. Toss in cooked noodles. Stir mixture to combine. Cook 1 minute to heat everything thoroughly.
Serve in individual bowls and top with sliced green onion.