In a large bowl, whisk together soy sauce, oyster sauce, pepper, sugar, rice wine or sake, and cornstarch. Mix the chicken pieces into the soy sauce mixture, stir to complete cover the chicken and let marinate for 15 minutes.
The stir-fry
Heat 1 tablespoon canola oil in a wok or large saucepan set over high heat. Add the ginger to the wok, stir-fry for 30 seconds then, using a slotted spoon, discard the ginger (this process will flavor the oil).
Add the chicken and marinade to the wok and stir-fry until the chicken is just cooked through, about 5 minutes. Remove the chicken from the wok and set aside.
Add an additional tablespoon canola oil to the wok and stir-fry garlic for 30 seconds. Add the broccoli florets and stir-fry for 2 minutes. Pour in 1 tablespoon plus 1 teaspoon oyster sauce and cook, stirring, for 1 minute.
Add the chicken back to the wok and briefly cook, until heated through. Garnish with toasted sesame seeds. Serve immediately.
Notes
Please note that I am not a medical or nutritional professional. I provide nutritional information for my recipes as a courtesy to my readers. It is calculated using the built-in recipe card calculator. While I attempt to provide information that is as accurate as possible, you should calculate the nutritional information independently before relying on it.