Bring a pot of water to a boil for the ramen noodles.
While the water heats up, prepare the sauce by combining soy sauce, oyster sauce, sesame oil, sugar, and white pepper in a small bowl. Set it aside.
Heat 1 tablespoon of vegetable oil in a large wok or skillet over high heat. Add the chicken pieces and stir-fry for 5-6 minutes, or until golden brown and cooked through. Remove the chicken from the pan and set it aside.
In the same pan, add the remaining oil. Stir-fry the bell pepper, snap peas, and carrot for 2-3 minutes until they are crisp-tender.
Add the minced garlic, ginger, and the white parts of the green onions. Stir-fry for another 30 seconds, or until fragrant.
While this is happening, cook the ramen noodles in the boiling water for 2 minutes (they should be slightly undercooked). Drain them well.
Return the cooked chicken to the pan with the vegetables. Add the cooked ramen noodles and the prepared sauce. Stir-fry everything together for 2-3 minutes until everything is well combined and heated through.
Garnish with the green parts of the sliced green onions and serve hot.