Start by gathering all your ingredients. Cut the boneless, skinless chicken into 1-inch pieces and wash the broccoli florets thoroughly.
In a large skillet or wok, heat 1 tablespoon of olive oil over medium-high heat.
Once the oil is hot, add the chicken pieces to the skillet. Season with salt and pepper to taste. Cook the chicken for about 5-7 minutes, stirring frequently, until it is golden brown and cooked through.
After the chicken is cooked, add the 2 cups of broccoli florets to the skillet. Stir well to combine the broccoli with the chicken.
Pour in the ½ cup of water and 1 cup of hoisin sauce. Stir everything together, ensuring that the chicken and broccoli are well-coated with the sauce.
Reduce the heat to medium-low and cover the skillet. Let it simmer for about 4-5 minutes or until the broccoli is tender but still vibrant green.
Once the broccoli is cooked to your liking, remove the skillet from heat. Serve hot, garnished with a sprinkle of sesame seeds and sliced green onions.