Hi @Андрей Михалевский ,
Based on my research and tests, I think the Exchange server doesn't provide the function of delegating user A mailbox to user B who is from another forest.
I tried the linked mailbox, cross-forest mail contact and so far there are no methods could working for our case. They all failed with "You don't have permission to open this mailbox".
I find one article that's about cross forest delegation using the Outlook client to sync their calendar on Exchange 2010: Exchange Server 2010 Cross Forest Delegation
And here is a similar case about Exchange Cross Forest Shared mailbox delegation, hope those could help.
Best regards,
Lou
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