How to remove your GoDaddy account
It depends on what you wish to delete.
For website (domain) accounts within your GoDaddy account, visit http://help.godaddy.com/article/5
For your GoDaddy account itself (obviously including possible domains you have, and payments), follow the steps named here: http://community.godaddy.com/groups/go-daddy-customers/forum/topic/how-to-delete-my-godaddy-account/?sid=2472115&sp=1
… Or contact them by mail or telephone using: http://community.godaddy.com/support/
As on many other sites, your account information will not be truly erased from the databases (due to ‘legal reasons’ that are mostly not explained in detail).
Helpful Trick: Removing online data
Helpful Trick: Remove third-party logins
If you signed up for GoDaddy using a third-party login such as Facebook or Twitter, you probably want to revoke all access from GoDaddy. Click here to find out how.