You can try a few things by logging onto my.esri.com.
1) once logged on, go to My Organization > Overview, their should be an option to "Contact My Administrator" or their contact info
2) Also on this page should be ESRI contact(s) for your Customer Service Representative, they can help you as well determine who is your ESRI Administrator. Or you can contact ESRI general customer service for your area
3) As another option go to My Organization > Manage Users, their may be a list of users including one that has "Admin" next to their name. This option will be dependent upon your level of access and type of licensing.
4) If this is in response to an ArcGIS error message to contact your administrator and you are the only one using/or installing ArcGIS components, that would be you. Sorry.
Because of the sensitive information contained on the pages noted above, I cannot send any screen shots.
As noted previously, what you see on my.esri.com is dependent on the type of license, maintenance agreement and your level of access. I would recommend contacting ESRI customer support for your location and have them help you. You may not have access to e-Learning as part of your license/maintenance agreement or your account profile is not configured correctly. Additional info is available at Get Started with E-Learning.