Remote Network Access with Cisco AnyConnect VPN | Disconnecting from the VPN
  
Disconnecting from the VPN
If you plan on shutting down your laptop or going into sleep or hibernate mode, it is a good idea to first disconnect from the VPN.
There are two ways to disconnect:
Step 1: Open the Cisco AnyConnect window and click Disconnect.
or right-click the Cisco AnyConnect icon in the system tray and select VPN Disconnect.