A personalized CNAME per domain is a feature available for the "Advanced" plans and above, and requires a quick manual setup on our side.
In order to commence the setup process, proceed to the Settings page and follow the link which will submit a support request to set up a CNAME for your account.
Cloudinary supports CNAME for non-secure HTTP traffic, while with HTTPS you will get a private CNAME in the Cloudinary domain, like
https://mydomain-res.cloudinary.com (instead of the generic
Cloudinary also supports adding custom CNAMEs for HTTPS traffic, but it's at an extra cost. Contact us for more information.