You should also look for leaves that are crisp rather than soft. Soft leaves means that the cabbage is a little old or has had damage done to it.
You should also keep in mind that a cabbage picked after a frost will be sweeter than one picked before a frost. If you are purchasing your cabbage from a farmer’s market, ask the person selling cabbage if their farm has had a frost yet.
If you absolutely must store part of a cabbage, wrap it tightly in plastic wrap and store it in the refrigerator for up to two days. [3] X Research source
If you have purchased Savoy cabbage, store it in your refrigerator for no more than one week. Use it after the week is up or else it will begin to go bad.