If you store textiles in the storage box they will stay in best condition by being stored in a dry and cool place indoors during the off-season.
If you want to use the hammock mounted to a wall, make sure your wall is made of a strong material and that you have correct fixing devices for the wall.
Be aware that different wall materials are able to support different loads of weight. For instance, wall made of plaster cannot support as much weight as walls made of wood, concrete or brick.
If you are uncertain about what type of fixing devices to use, please contact your local hardware store.