How do you connect to Exchange online PowerShell? Do you tried to connect to Exchange online in this way: Basic auth - Connect to Exchange Online PowerShell
Yes, this command is contained in "Address Lists" role, if you are contained in this role, you will could run this command(After modifying permission, you need to reconnect to Exchange online PowerShell again):
I also want to confirm with you that whether you could run other command such as "Get-Mailbox" command for Exchange online mailbox?
I can manage address lists on the local Exchange server but these lists are somehow not synced with Exchange Online. AAD connect is set up and working.
Address list is a server-based configuration, it will not sync from Exchange on-premises to Exchange online by default.
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