Cakes with canned frosting generally do not need to be refrigerated if they are going to be consumed within a day or two. Canned frostings are typically made with ingredients that are stable at room temperature, so they can remain fresh for a short period without refrigeration.
However, if the cake is going to be stored for an extended period or if you are in a hot and humid climate, it's best to refrigerate the cake to maintain its freshness and prevent the frosting from melting or becoming too soft. Refrigeration can also help to prolong the shelf life of the cake.
If you decide to refrigerate the cake, make sure to cover it to prevent it from absorbing any odors from the refrigerator. Before serving, you might want to bring the cake to room temperature for better taste and texture.
Always follow the specific storage recommendations provided on the canned frosting label or the cake recipe you are using to ensure the best storage conditions for your cake.