I've just had a call with the GoDaddy support team and the solution took about 5 minutes. I have a Linux with cPanel, so the process migth vary with yours.
You go to "My Account", search for the Domains section and then click on Addon Domains.
Here you will fill a three fields form:
New Domain Name Subdomain Document Root
- New Domain Name
- Subdomain
- Document Root
As long as you fill out the first and press TAB or focus out the field, it will automatically fill the other two, so just type in "yourdomain.com" (without the quotes) and finally click on Add Domain.
Done! :) Hope it helps.