Place the sauerkraut in a colander or strainer. Use your hands to squeeze out most of the excess liquid, being careful not to make the sauerkraut completely dry. Excessive liquid will make the salad too sour.
Roughly chop the drained sauerkraut to avoid long strips in the salad.
Grate the apple and carrot using a box grater with large holes.
In a large mixing bowl, combine the chopped cabbage, grated apple, and grated carrot.
Add one tablespoon of neutral oil and mix well. Add more oil if you like oily salads.