Unless specified on the packaging, most CBD is typically safe to at room temperature. It is best to keep in a cool, dark place such as a desk drawer or cabinet.
Some people prefer to store oil, capsules, and tincture in the fridge. You should know that they are safe to store at room temperature as long as the bottle/packaging is not exposed to direct heat or light.
You can store edibles at room temperature, as well! If you are trying to keep your edibles longer, you can keep them in the fridge! This may not stop degradation but will definitely prolong the lifespan of your edibles!