Since Kriptomat offers a free and licensed hosted wallet, it's not feasible to provide the private keys to individual wallet addresses. Doing so would prevent us from taking advantage of our highly secure cold storage, where we keep 98% of all crypto assets in order to protect your funds.
Kriptomat is designed to be simple and secure. That is is the main reason why we offer a free hosted wallet service for all our users, which is user-friendly, especially compared to hardware and other hosted wallets. This makes the cryptocurrencies easier to use and you don’t have to worry about storage security of your assets (private keys, loss of data, etc.).
However, if you wish to do so, there is nothing stopping you from transferring your cryptocurrencies from your Kriptomat account to your own private wallet.