Whisk together the orange zest, orange juice, cider vinegar and honey. Place the basil sprigs, chicken thighs and orange wedges into a plastic bag along with the honey-vinegar mixture. Place in the fridge for at least one hour and up to 4 hours (mine marinated all afternoon).
Place the chicken thighs and oranges on a wire rack set on a rimmed baking sheet. Sprinkle the chicken with salt and pepper. Transfer the marinade to a small saucepan and bring to a boil. Let simmer until until reduced by half, about 5 minutes.
Place the baking sheet in the top third of the oven. Turn the boiler on (I used the "high" boiler setting) and broil the chicken and orange wedges for 3 minutes. Flip the chicken thighs over and brush with the reduced marinade. Continue broiling until the chicken thighs are cooked through, about 5-8 minutes more.
Brush the chicken thighs with reserved marinade and then serve. I drizzled a little extra of the marinade onto the rice and broccoli I served with the dish.