In a large covered pot over medium heat, add the shredded cabbage and sliced apples. Pour in the boiling water, cover, and cook for 10 minutes until the cabbage begins to soften.
In a small bowl, whisk together the oil, apple cider vinegar, flour, brown sugar, salt, black pepper, and caraway seeds (if using).
Pour the mixture over the cabbage and apples, stirring to combine.
Cook uncovered for 20 minutes, stirring occasionally, until the cabbage is tender and the flavors have melded together.
Serve warm as a side dish.
