- Edited
It is a wanted behavior that the "limited access" does not include the access to closed tickets.
So you either need to give them more permissions (Admin Panel > Agents > Groups) or workaround this by creating a new department that these people have full access and all tickets that they shall see, must then be first transferred to this internal department. Then it would be no problem that they have full access since they only see tickets which are in this special department.
We use the above workaround and sure you always need to transfer tickets, but it's still the easiest way I guess.