Remove seasoning packets from noodle packages; reserve 1 packet (discard remaining seasoning packets). Cook noodles according to package directions, omitting the seasoning packets (do not drain); keep warm.
Combine chicken and reserved seasoning packet in a medium bowl. Heat oil in a large nonstick skillet over medium-high heat. Add chicken mixture; sauté 5 minutes or until done. Add broccoli and bell pepper; sauté 2 minutes or until tender. Stir in soy sauce. Combine chicken mixture and noodles.