Store at room temperature for approximately 5 days. Freeze for longer storage, up to 2 months. Pound Cake. Storage: Room Temperature. Storage Note: Be sure.
My neighbor has just given me a pound cake that she cooked. As long as it is well wrapped you can store it in or out of the fridge for several.
This is going to depend on how long you want to keep it for. If you're serving it soon (say, same day, maybe next), then don't refrigerate it at all, though.