In a bowl, combine sliced chicken with 1 tbsp soy sauce, Shaoxing wine, and white pepper. Let sit for 10 minutes.
Heat 1 tbsp oil in a wok over medium-high heat. Add radish slices and stir-fry for 2-3 minutes until slightly softened. Remove and set aside.
Add remaining oil to the wok. Stir-fry garlic and ginger until fragrant (30 seconds).
Add marinated chicken and cook until no longer pink (4-5 minutes).
Return radish to the wok. Add oyster sauce, remaining soy sauce, sugar, and chicken broth.
Stir well, then simmer for 3-4 minutes.
Pour in cornstarch slurry and stir until the sauce thickens (about 1 minute).
Sprinkle with chopped green onions. Serve hot over steamed rice.