How, exactly, did you transfer it?
The way to transfer it and make the recipient the owner is to place it in the user’s Drop Box in their Public folder.
If you pull it over from the other Mac instead of pushing it over, it will also gain the ownership of the user pulling it.
“Fetching…” means the file has a user (owner) ID that doesn’t exist on that Mac. Standard macOS file permissions on a document are owner r/w, no group, and everyone no access. So, if it can’t find the owner of the file, no other user would have permission to edit the file. You’d have to add a user on that Mac to the file and take ownership of the file with that user (Get Info, Sharing pane, ellipsis button).
An administrator on macOS doesn’t have omnipotent powers. They only have the ability to elevate their privileges which is what you’ll have to do to add a user and change ownership.