Hello Piotr Czerwik,
Thank you for posting in Q&A forum.
Do you want only one domain user to do this? If so, and you have more users and they have their own machines, you can try:
1.Put those machines in this OU.
2.Create a GPO and link it to the above OU.
3.Edit the GPO as below (for example, if you have more users, you can add more entries in that GPO):
%SystemDrive%Users\t1\Desktop, give one domain user (such as user1) "read" and "delete subfolders and files" permissions on this desktop;
%SystemDrive%Users\t2\Desktop, give one domain user (such as user1) "read" and "delete subfolders and files" permissions on this desktop;
%SystemDrive%Users\t3\Desktop, give one domain user (such as user1) "read" and "delete subfolders and files" permissions on this desktop;
Run gpupdate /force or restart the machine to make GPO take effect.
I hope the information above is helpful.
If you have any questions or concerns, please feel free to let us know.
Best Regards,
Daisy Zhou
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