Finely chop the sauerkraut. In a medium bowl, mix the milk, egg, caraway seeds, and savory, if using. Stir in the flour. Season with salt and pepper. Add the sauerkraut and mix to combine.

Heat a thin layer of oil in a large skillet over medium heat, until a small amount of batter added to the fat sizzles and sputters. Working in batches, spoon two tablespoons of the sauerkraut mixture per fritter into the pan (you should be able to fit about four at a time). Spread them into three-inch (eight centimeter) rounds with a fork. Cook until the undersides are browned, about five minutes. Turn the fritters over and cook until the other sides are browned, about five minutes more.

Transfer to paper towels to drain and season with salt. Repeat with the remaining batter, adding more oil to the pan as needed. Serve hot.