In a bowl whisk eggs until well blended. Pour panko bread crumbs into a separate shallow dish.
Bake chicken in preheated oven until chicken has cooked through (center of larger pieces should register 165 on an instant read thermometer, about 14 - 18 minutes (note that the coating won't be very golden brown, most of the color comes from the sauce so don't over-bake the chicken or it will dry).
Heat oil in a small saucepan over medium heat. Add garlic and ginger and saute just until lightly golden to remove the harsh bite, about 30 seconds. Remove pan from heat.
Toss chicken with sauce just immediately before serving and sprinkle with green onions and sesame seeds. Serve with rice or cauliflower rice if desired.