Marinate the chicken in the honey-balsamic glaze for 20 minutes at room temperature, or cover and refrigerate for up to 8 hours.
Prepare a medium-hot fire on one side of a grill. Set the uncut cabbage and chicken breasts on the grill directly over the heat and cook both for about 3 minutes per side, spooning any remaining marinade over the chicken before turning. Remove the cabbage from the grill.
Transfer the chicken to indirect heat, close the grill, and cook without turning until lightly browned and cooked through, about 10 minutes longer. Coarsely chop the cabbage as directed in the recipe.
Toast the sesame and poppy seeds
Assemble the warm cabbage–apple salad
