Like any other bread, you could say that pita bread is best preserved if stored at room temperature in a dry, dark, and cool place. If you refrigerate the pita bread, you risk hardening much faster if it is not well stored. Luckily, you can freeze pita bread and the dough, an excellent option for storing it for a long time. The pita bread dough can be refrigerated, and if you have it well stored, it will keep for a couple of days.