Adobe does not support a fully portable version, but users can:

Using unlicensed software violates Adobe’s terms of service and can lead to legal penalties or audits, especially for businesses.

Does Adobe actually offer an official portable version? From what I've gathered, most of these third-party versions seem to trigger errors like "file is either corrupt or using an unsupported format" when trying to open project files.

: You can download a clean, safe, and fully functional free trial directly from the Adobe Audition Official Page.