CoinZoom is a hosted wallet service, which means we manage your private keys for you. It is not possible to delete wallet addresses from your CoinZoom account. Deleting addresses from any wallet is highly discouraged since any funds sent to an address which has had its private key deleted will be lost forever.

If it is privacy that you are concerned about, rest assured that CoinZoom generates a new address for you each time you receive or send funds, so third-parties can not easily track your future transactions. Also, you can generate a new address for your CoinZoom wallet at any time here