The question of whether can you freeze angel food cake is ages old, the short answer is yes but the real question is how? Angel food cake is a very special dessert. It is made out of, mainly, egg whites. This makes it a bit less stable than other desserts like cookies or brownies.
As a final tip, if you ever see a green spot on your cake, then its time for you to dump it, no matter how delicious it once was. If it has a weird smell, throw it out too. Better safe than sorry!