Place a large skillet over medium heat. When the skillet is hot, add the oil and swirl to coat the bottom. Add the white and light green parts of the green onions and cook until the green onions start to soften, stirring occasionally.
Add the chicken to the skillet, break it up with a large wooden spoon, and cook until the chicken is cooked through and no longer pink, stirring occasionally.
Increase the heat to medium-high. Add the broccoli slaw and sauce. Cook until the slaw is crisp-tender or cooked to your liking, stirring occasionally.
Stir in the dark green parts of the green onions, then remove from the heat. Serve in bowls, and garnish with sesame seeds, sriracha, sliced avocado, and/or cilantro leaves, if desired.