Wow! GoDaddy is an inadequate hosting company?
For E-Commerce Yes it is
Despite the heresy of this thought, maybe there's something wrong with ZenCart?
If you read you will see that there are lots of issues with godaddy,
most revolve around the use of cURL and so forth,
IF you used the godaddy installer and it didnt work right I think I would contact godaddy thats their installer,
ZC works fine for us
works fine for the folks that migrate from godaddy to Us or anyone else for that matter,
as DrByte suggested earlier you may want to actually ask their support.
a godaddy database host usually looks something like this
xxxxxxxxxxx.secureserver.net
this is from the last folks we migrated from godaddy
and they db name and username and pass were what they setup manually
Here is one from another that we moved not to long ago
define('DB_SERVER', 'p50mysql161.secureserver.net');
define('DB_SERVER_USERNAME', 'cal0815xxxxxxxx');
define('DB_SERVER_PASSWORD', 'xxxxxxxx');
define('DB_DATABASE', 'cal0815xxxxxxxx');
notice the username and database are the same for a godaddy auto install