Cooked cabbage can be frozen, but it is best to undercook the cabbage just a little bit so that it can be reheated without causing an overcooked taste. Cooked cabbage can be frozen for up to a year if properly prepared and sealed in an airtight container.
To freeze cooked cabbage, cool the cabbage in ice water immediately after it is cooked. Drain the cabbage, and put it in a freezer-safe container. If possible, use a vacuum food saver. This is the best way to prevent freezer burn as residual air is the main reason that frozen food spoils over time.