I purchased an "Economy Linux Hosting with cPanel" couple hours ago
After finish setup and assign my custom domain to host, in Cpanel -> DNS Manager, I didn't see my custom domain to find new DNS (in dcc.godaddy.com/manage)
I am really appreciate for you help.
With Best Regards
you need to look further at your settings as I believe you haven't set it all up correctly. Your domain is functioning correctly, that's ok, it's your hosting that seems to be the problem.
Contact support if you need guidance in this.....