chrism2278,
This one should be simple.
Just create your published application on the Citrix server and then give the global group (or user) rights to the published application.
Once they have access to the published application, you can disable "desktop" access to that server by going into the CCC and choosing the ICA-TCP settings. In there, you will have an option to only allow published applications on that server vs allowing a full published desktop.
Hope that helps.