The Azure AD Admin role of : Service support administrator - Can read service health information and manage support tickets.
Gives the user/group the ability to open a support ticket for the Directory however, if the user is not an owner/User Access Admin they would not be able to open a ticket on subscriptions (etc from above).
Please note the following documentation:
https://learn.microsoft.com/en-us/azure/azure-portal/supportability/how-to-create-azure-support-request#azure-role-based-access-control
Azure role-based access control
You must have the appropriate access to a subscription before you can create a support request for it. This means you must have the Owner, Contributor, or Support Request Contributor role, or a custom role with Microsoft.Support/*, at the subscription level.
To create a support request without a subscription, for example an Azure Active Directory scenario, you must be an Admin.
Important
If a support request requires investigation into multiple subscriptions, you must have the required access for each subscription involved (Owner, Contributor, Reader, Support Request Contributor, or a custom role with the Microsoft.Support/supportTickets/read permission).