Add the chicken and stir-fry until it's nearly cooked through.
Push the chicken to the side of the pan and add the eggs to the center. Scramble the eggs until fully cooked and then mix with the chicken.
Add the soaked noodles, Chinese broccoli, dark soy sauce, light soy sauce, oyster sauce, and sugar. Stir everything together and fry until the noodles are fully cooked and everything is well combined.
Sprinkle with ground white pepper and adjust seasoning if necessary.
Serve hot, garnished with additional white pepper if desired.