1Heat oil in a large frying pan over high heat. Cook kielbasa, turning once, until browned about 5 minutes total. Transfer to a plate and tent with foil.
2Cook bacon in the same pan, stirring often, until crisp. Remove bacon from pan and pour off all but 1 tablespoon of fat. Cook cabbage, bell pepper, onion, apple, and carrots until just starting to soften, about 5 minutes. Mix in vinegar, sugar, and 1/2 teaspoon each salt and pepper. Stir in bacon and serve slaw with kielbasa.