Prepare Chicken Marinade: Mix the cubed chicken with vegetable oil, soy sauce, sesame oil, garlic powder, onion powder, ground ginger, and black pepper. Let it marinate for at least 15 minutes.
Prep Vegetables: Slice the zucchini, onion, carrots, and mushrooms. Set aside.
Cook Chicken: Heat 1 tablespoon of oil in a large skillet or flat-top griddle over medium-high heat. Cook the marinated chicken for 6-8 minutes until golden brown and fully cooked. Remove from skillet and set aside.
Stir-Fry Vegetables: Add another tablespoon of oil to the skillet. Stir-fry onions and carrots for 2-3 minutes. Add zucchini and mushrooms, cooking for an additional 3-4 minutes until vegetables are tender but still crisp. Season with salt and pepper to taste.
Make Fried Rice: Melt the butter in the same skillet. Scramble the eggs until set, then add the cooked rice, breaking up clumps. Stir in soy sauce, frozen peas, and cook for 2-3 minutes until everything is well mixed and heated through. Stir in green onions.
Prepare Hibachi Sauce: Whisk together soy sauce, rice vinegar, sesame oil, honey, garlic, and grated ginger in a small bowl.
Assemble the Dish: Divide fried rice between plates, place the cooked chicken and vegetables alongside, and drizzle with hibachi sauce. Serve immediately with extra sauce on the side.