Unfortunately, it’s not possible to delete Skype account in its entirety. But, if you’re no more thinking about using your account, you may remove all your private information from the Skype database, which creates it impossible for other customers to discover your account.
Unlike other application's, Skype makes it very difficult to completely remove an account. Initially, you just deactivate it because there’s no substitute for completely remove it. Skype allows customers to delete their accounts and data.