It is not possible for you to change your CoinZoom wallet address. However CoinZoom may periodically change a wallet address when the custodial partner of the cryptocurrency changes. However, any address that has already been assigned to your account will remain retroactively associated with your account forever. There could be multiple wallet addresses for a single currency in your account and all of them are safe to re-use to receive future payments.
You can find your wallet address by following the steps mentioned here.