Exchange on-premises mailbox can only be managed from local AD. You could manage Office 365 mailbox (Remote mailbox) from Exchange on-premises, but you cannot manage Exchange on-premises mailbox from Exchange online side.
If you want to delete it when Exchange on-premises crushed, you could delete this mailbox AD account from local AD, or remove this mailbox from AAD Connector.
You can also follow this article to recover crushed Exchange on-premises server, then you will could manage this mailbox from Exchange on-premises.
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