Hi Donata
I have gone through this article in the community but I don't find any such option, have a look
In order for you to delete your Skype account without deleting your Microsoft account, you need to unlink your Microsoft account first.
(Disclaimer: It will take some time before the Skype account will be removed from the database.)
If the accounts are successfully unlinked, a confirmation message will be displayed at the top of the page. The unlinked account ID will be removed from the Skype Account Profile page.
If you created a new Skype account when you first signed in to Skype with your Microsoft account and you decide to unlink your Skype and Microsoft accounts, you’ll lose all the Skype products you purchased for that account. If you have any Skype Credit or a subscription left, you may want to use it up before unlinking your accounts. We also recommend that you back up all contacts you added to that Skype account.
To unlink your Skype and Microsoft account, kindly follow these steps:
- Sign in to your account.
- In the Account details section, click Account Settings.
- In the Linked accounts section, click Unlink next to your Microsoft account ID.
A message appears telling you what to expect when you unlink your Skype ID from a Microsoft account. Read the information and if you agree, select Close account.
https://answers.microsoft.com/en-us/skype/forum/skype_accountms-skype_setupms/deleting-skype-account/e696c287-0bf1-4359-94f4-d811c0748544
Agent Name is:- Rose Ter Microsoft Agent Moderator he answered on Replied on September 26, 2016