Season the chicken thighs on both sides with salt and pepper.
In a small bowl, stir together the honey, soy sauce, garlic, and ginger until smooth. Set the glaze aside.
Heat the olive oil in a large skillet over medium heat. Add the chicken thighs and cook for 5 to 6 minutes per side until browned and nearly cooked through.
Pour the prepared glaze into the skillet. Let it bubble and thicken for 3 to 4 minutes, turning the chicken to coat it evenly.
Add the broccoli florets to the skillet around the chicken. Cover and cook for 4 to 5 minutes until the broccoli is bright green and tender-crisp.
Remove the skillet from the heat. Sprinkle the sesame seeds and sliced green onions over the top before serving.