Season the chicken thighs lightly with salt and pepper, then place them in the slow cooker in a single layer.
In a bowl, whisk together the orange juice, orange zest, grated ginger, minced garlic, soy sauce, and honey until the honey dissolves.
Pour the sauce evenly over the chicken thighs in the slow cooker.
Cover and cook on low for 6 hours, until the chicken is very tender.
About 10 minutes before the chicken is done, steam the broccoli florets until bright green and crisp-tender.
Spoon the chicken and some of the sauce over the steamed broccoli, then sprinkle with sliced green onions before serving.