If the transfer is blocked because of the first three options, you must see whether you can prevent the transfer of those records, before the transfer. This can be done by assigning the mentioned records to another user, who isn’t the current owner or closing them off.
Depending on the profile or license used, you must check whether you can provide more access. Maybe the profile doesn’t allow for access, but the license could, in which case you could add extra permissions to the profile to broaden access.
A user with a Salesforce license has the broadest permissions. If you would use a different license, a Community license, a Force.com license type, or maybe a Chatter license type; access to objects is different. You can't give permission to the related objects.
Another option would be, to not use the Salesforce 'Change Ownership' link, which starts the transfer wizard. Instead, use automation that doesn’t change the ownership of any related records or you can use an API tool such as Workbench.
See Also:
Cannot change the ownership of a record
Error ‘The recipient User should have reading permission for this record’ on Account Owner update
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