Preheat oven to 450 degrees. Grab a sheet pan with some sides.
Thinly slice the cabbage and the red onion and set aside.
For the chicken
In a large plastic bag mix 3 tbsp mustard, only 1 tbsp maple syrup, some pepper.
Drain or pat chicken dry if needed and toss in bag with mustard mix, smoosh around to cover all pieces.
Roast skin side up for 20 minutes until skin has begun to crisp. I tend to turn oven down to 400 if browning too fast. You want the chicken more than halfway cooked here, not just browned skin.
Remove from oven and turn oven down to 375. Remove chicken onto a plate and either discard fat or keep it in pan for flavor.
For the cabbage
In a large bowl combine the cabbage, 1 red onion, 4 tbsp apple cider vinegar, 1 tbsp olive oil, remaining 2 tbsp maple syrup, salt and some pepper.
Put cabbage mix into the pan and also return the chicken to the pan, snuggling the chicken into the cabbage, not set on top.
Final cooking
Roast 20 to 25 minutes, until cabbage softens, and chicken is fully cooked. Chicken can be removed at any point if overcooking while cabbage cooks on. I like the cabbage still crispy, not too soggy, so I try to cook chicken mostly on first step and then less time on this step to keep cabbage al dente.
Add some salt, pepper to taste to cabbage, serve warm.