Lost admin Rights to Adobe Admin Console

Just to say, at least the contract owner has always access to the admin console, except if there is a bug in Adobe's handling of this.

use a browser that allows popups and cookies and contact adobe support by clicking here, https://helpx.adobe.com/contact.html?rghtup=autoOpen
in the chat field (lower right), type AGENT
be patient, it can take quite a while to reach a human

p.s you can also use phone (but chat is usually quicker), https://helpx.adobe.com/contact/phone.html

p.p.s. you can also use twitter to tweet @AdobeCare

p.p.p.s. if you're contacted by anyone (via email or private message), it's much more likely to be a scammer than an adobe representative. ie, double check for an employee badge if contacted in the forums and look for an adobe.com domain in the email address if you click reply to an email. then check again and be very suspicious. any other method of contacting (or offering to contact you) is almost certainly a scam, https://community.adobe.com/t5/using-the-community-discussions/staying-safe-in-the-adobe-support-community/td-p/12919684/redirect_from_archived_page/true

Customer care is not for enterprise accounts, they don't handle that stuff.  Inded, You are supposed to use the Admin Console to raise a support case. Yes, I know you can't; I'm not sure Adobe thought of that. I don't know if there is a telephone enterprise account. But I think I read you may have to start again, this was a really catastrophic action by IT... this is perhaps best thought of as "how do I add an administrator if the last one is lost" rather than "how to I get back that doomed account".