You need to do some extra configuration.
1. Define access to system view.
2. define interfaces for which you allow access.
3. define shutdown interface command, but pay attention whether is l2 or l3 interface.
4. define undo shutdown command, i believe you want level 1 user to activate the interface back
command-privilege level 1 view shell system-view
command-privilege level 1 view system interface GigabitEthernet0/0/1
command-privilege level 1 view system interface GigabitEthernet0/0/2
command-privilege level 1 view system interface GigabitEthernet0/0/3
command-privilege level 1 view gigabitethernet shutdown
command-privilege level 1 view gigabitethernet-l2 shutdown
command-privilege level 1 view gigabitethernet undo shutdown
command-privilege level 1 view gigabitethernet-l2 undo shutdown
Cheers