Please follow below mentioned steps to Update/Change nameservers at GoDaddy domain control panel:
- Login to GoDaddy domain control panel.
- Choose the domain name and Click on DNS button.
- Scroll-Down and Click on Change button under Nameservers sections.
- Put your desired nameservers under nameservers fields.Click on Save.
Please follow this article,If you want to create new private nameservers at Godaddy.