In a large bowl, combine chicken, soy sauce, garlic, sesame oil, and black pepper. Marinate for at least 15 minutes.
In another bowl, whisk together oyster sauce, soy sauce, rice vinegar, black pepper, water, and 1 tablespoon cornstarch until smooth.
Toss the marinated chicken with the remaining 2 tablespoons cornstarch until coated evenly.
Heat 2 tablespoons vegetable oil in a large skillet or wok over high heat. Add the chicken pieces in a single layer and cook for about 3 minutes per side until golden and cooked through. Work in batches if needed. Remove chicken and set aside.
Add the remaining tablespoon of oil to the pan. Stir fry onions and bell peppers for 1–2 minutes until slightly tender but still crisp.
Add ginger and garlic and cook for another minute until fragrant.
Return the chicken to the pan and pour in the sauce mixture. Toss everything together and simmer for 1–2 minutes until the sauce thickens and coats the chicken beautifully.
Serve the Easy Pepper Chicken Stir Fry hot with steamed rice, noodles, or vegetables.