Heat 2 tablespoons of sesame oil in a wok or wide frying pan and sauté the diced chicken breast for 3-5 minutes. Add the green onions and garlic to the pan and stir for a few seconds over high heat to combine the flavors.
Turn the heat to medium and add the dark soy sauce, light soy sauce, oyster sauce, chili flakes, and Erythritol. Simmer until the sauce makes a thick glaze.
Remove from the heat and add the fresh basil leaves.
In another pan, heat the remaining oil and fry the eggs sunny side up. Use a spoon to drizzle the hot oil over the eggs to cook through.
Serve the chicken mixture hot, topped with the eggs.