Custom domain for zoho creator app

I am creating an app for the workplace of a large company. Unfortunately, it is like working for the government and I cannot convince the enterprise security folks that zoho does not pose a threat to their security and they have banned the zoho.com URL via their firewall.

So I am considering whether or not I can use a private domain access to zoho in order to access a creator.zoho app. I believe that if the app were accessed through my_domain.com in some way that things would work. Am I understanding the way in which private domains work? That is, could all communication with my zoho app be through my_domain.com and thus skirt the firewall issues?