Heat oven to 400° F. Heat 1 tablespoon of the oil in a large ovenproof skillet over medium-high heat.
Season the pork with ½ teaspoon each salt and pepper and cook, turning occasionally, until browned, 6 to 8 minutes.
Transfer the skillet to the oven and roast until the pork is cooked through, 12 to 14 minutes. Let rest at least 5 minutes before slicing.
Meanwhile, in a large bowl, combine the vinegar, honey, remaining 2 tablespoons of oil, and ¼ teaspoon each salt and pepper.
Add the cabbage and apples and toss. Let sit for at least 5 minutes, tossing occasionally. Fold in the cilantro and serve with the pork.