Gather all ingredients before starting the recipe.

Thinly slice 1/3 head cabbage.

Peel and thinly slice apples.

Peel and thinly slice onions.

Heat olive oil in a medium skillet over medium high heat.

Add sliced onions and cook until the onions become soft and start to brown, about 3-4 minutes.

Add sliced apples, toss to combine and cook for 3-4 minutes.

Then add 1 tablespoon of balsamic vinegar and season with kosher salt and black pepper, toss to combine.

Add sliced cabbage in handfuls and cook over medium heat, covered, turning periodically and adding more cabbage with each toss and with each turn.

When all the cabbage has been added, add the remaining 2 tablespoons of balsamic vinegar, give it one more toss and cover the cabbage and reduce heat to medium low. Cook for about an hour to an hour and a half. The cabbage should still hold its shape, but be tender when it's done.