Hello, @Nicholas,
Welcome to the Microsoft Q&A platform!
The error messages you're encountering "Something Went Wrong" in the admin center and "User is not allowed to call" in PowerShell suggest there might be an issue with the permissions or roles assigned to your admin account.
In a hybrid Exchange environment where all mailboxes have been migrated to Microsoft 365 (M365), you should manage mailbox permissions directly in the Exchange Online environment.
Meanwhile, ensure that your admin account has the necessary roles assigned in Exchange Online. Even if you are a Global Admin, specific Exchange roles might be required to manage mailbox permissions. Verify that your hybrid configuration is correctly set up to support mailbox permissions. Sometimes, additional configuration is needed to ensure permissions are synchronized properly between on-premises and Exchange Online.
For more detailed information, please refer to:
1.Permissions in Exchange hybrid deployments | Microsoft Learn
2.Role assignment policies in Exchange Online | Microsoft Learn
3.Manage role groups in Exchange Online | Microsoft Learn
Should you need more help on this, you can feel free to post back.
If the answer is helpful, please click on “Accept answer” as it could help other members of the Microsoft Q&A community who have similar questions and are looking for solutions.
Thank you for your support and understanding.
Best Wishes,
Alex Zhang