Deactivate or Close Skype Account

Your
Skype account is the same as your Microsoft account. If you close it,
you’ll no longer be able to sign in to other Microsoft products or
services such as Outlook.com, Office Online, OneDrive, Xbox Live, or
Windows. If you’re no more thinking about using your account, you may
remove all your personal information from the Skype or You need to
contact Skype support team either on mail or chat to let them know that
you want to delete your skype account. Skype recommends removing all personal
information from your account as a first measure to deactivating it.

How do I Close my Skype Account?

    Sign in to your Skype account.  visit https://go.skype.com/myaccount
    Go to account closure page. visit http://go.microsoft.com/fwlink/?LinkId=523898
    You may be prompted to sign in or verify your password.
    Enter your Skype login information
    In the Select a reason drop-down list, choose the reason you’re closing the account.
    Select Mark account for closure.
   
Your account will be closed in 30 days. You can change your mind any
time during the 30 days, just sign in to cancel the closure.

Close Skype Account on Mobile:

Tap the Skype App icon on your Mobile
Click on profile icon in the top center
Click on the gear icon in the upper right-hand corner
Now settings menu will open
Scroll down to Account and profile tab
Tap it and you will see next option
Close your account now click on it
Confirm your identity by enter password
From a drop-down menu select the reason
Click on Mark account for closure.

Microsoft
will give you a grace period of 30 days to change your mind. If you
don’t, your Skype account will be deleted permanently along with the
rest of your Microsoft account.