How to Make Chinese Chicken and Broccoli Add some oil to the wok or pan and stir fry the garlic, green onions and ginger being careful not to let it get too dark . Put the chicken back in the pan and add the soy sauce. Add the hoisin sauce. Next, add the hot water. Toss with the sauce until fully cooked..Stir broccoli with the chicken and onion saute until the broccoli is hot, about minutes. Push the chicken and vegetables mixture to the side of the skillet. Pour the soy sauce mixture into the vacant part of the skillet. Stir the cornstarch slurry into the soy sauce mixture until the color is consistent..This Chinese chicken and broccoli stir fry is easy and healthy with a sauce that takes just like takeout. Serve it with jasmine rice for a simple recipe that s perfect .