Restricted in what way? It's no different to an individual who has full administrative rights to their computer. I have run a packet capture while trying the installer and there are no packets dropped to/from the desktop PC. We don't do any SSL scanning so any encrypted packets are not inspected when they pass through the firewall which makes whitelisting unnecessary.
Jollander was able to obtain a custom installer from Adobe support which whilst not idea is at least a workaround. Can you provide the same?
Branching to a new discussion.
Tippers1, you can download the installation files for the Adobe Creative Cloud desktop application from Download Creative Cloud desktop app . It is likely though you will encounter additional errors when you begin the download and install process listed in Learn how to download your Adobe Creative Cloud apps .
I would recommend you bookmark Error downloading or updating Adobe Creative Cloud apps for any future errors you may encounter. You can use the details in post #3 of this public discussion to configure your network if you encounter additional errors.