One of the main benefits of growing a 20th Century Asian Pear Tree is that this tree's fruits keep very well. The firm flesh of these fruits makes it less likely that they will be damaged during and after harvest. The best way to store these fruits is by placing them in a plastic or paper bag in the refrigerator. In that storage setting, these fruits should last up to a month. When left at room temperature, they will stay fresh for about one week.