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Description:  

Determines whether users can delete remote access connections.

If you enable this setting (and enable the "Enable Network Connections settings for Administrators" setting),
users (including administrators) cannot delete any remote access connections. This setting also disables the
Delete option on the context menu for a remote access connection and on the File menu in the Network
Connections folder.

Important:  If the "Enable Network Connections settings for Administrators" is disabled or not configured, this
setting will not apply to administrators on post-Windows 2000 computers.

If you disable this setting or do not configure it, all users can delete their private remote access connections.
Private connections are those that are available only to one user. (By default, only Administrators and
Network Configuration Operators can delete connections available to all users, but you can change the
default by using the "Ability to delete all user remote access connections" setting.)

Important: When enabled, this setting takes precedence over the "Ability to delete all user remote access
connections" setting. Users cannot delete any remote access connections, and the "Ability to delete all user
remote access connections" setting is ignored.

Note: LAN connections are created and deleted automatically when a LAN adapter is installed or removed.
You cannot use the Network Connections folder to create or delete a LAN connection.

Note: This setting does not prevent users from using other programs, such as Internet Explorer, to bypass
this setting.

Supported on: At least Windows 2000 Service Pack 1.
Prohibit deletion of remote access
connections
Description Gpedit Regedit CMD Back VBScript PowerShell Script
Gpedit:   

Please perform the following steps:

Please go to Pearl button (Start) and click on the Search programs and files
For more information about the change from Start to Pearl button click here
Type gpedit.msc and press Enter
In the Group Policy window please navigate to User Configuration -> Administrative Templates ->
Network -> Network Connections and open Prohibit deletion of remote access connections.
Not Configured -> is the Default state
Enabled -> apply this GPO
Disabled -> this GPO will not be applied

To finish press ok button and close Group Policy window.
Type regedit and press ok
Please confirm User Account Control pop-up
Microsoft official disclaimer

Warning Serious problems might occur if you modify the registry incorrectly by using Registry Editor or by
using another method. These problems might require that you reinstall the operating system. Microsoft
cannot guarantee that these problems can be solved. Modify the registry at your own risk.

Note: This registry key is created by Group Policy when this GPO is Enable. The GPO Default state is Not
Configured -> this registry entry is not present. For Disable this registry entry is not present.

Please navigate to HKEY_CURRENT_USER\Software\Policies\Microsoft\Windows\Network Connections
and locate NC_DeleteConnection registry key
Regedit:          

Please perform the following steps:

Please go to Pearl button (Start) and click on the Search programs and files
For more information about the change from Start to Pearl button click here
   
   
Double click on NC_DeleteConnection and edit the value:

To Enable:
Change the data value with:
NC_DeleteConnection = 0

To Disable:
Change the data value with:
NC_DeleteConnection = 1

To finish press ok button and close Registry Editor window

Note: Manual editing of this registry key will not be reflected in Group Policy. If you modify this GPO from
Group Policy this registry key will be rewritten.
Type cmd, right click on cmd icon under the Programs and click on Run as administrator
Please confirm User Account Control pop-up
Please select, right and copy a registry key from below, then right click on command prompt window
, select Paste and press Enter

Enabled:
REG add "HKCU\Software\Policies\Microsoft\Windows\Network Connections" /v NC_DeleteConnection /t REG_DWORD /d 0 /f

Disabled:
REG add "HKCU\Software\Policies\Microsoft\Windows\Network Connections" /v NC_DeleteConnection /t REG_DWORD /d 1 /f

Not Configured:
REG DELETE "HKCU\Software\Policies\Microsoft\Windows\Network Connections" /v NC_DeleteConnection /f

Note: Manual editing of this registry key will not be reflected in Group Policy. If you modify this GPO from
Group Policy this registry key will be rewritten.
CMD:          

Please perform the following steps:

Please go to Pearl button (Start) and click on the Search programs and files
For more information about the change from Start to Pearl button click here
   
VBScript:          

Const HKEY_CURRENT_USER = &H80000001
strComputer = "."
Set oReg=GetObject("winmgmts:{impersonationLevel=impersonate}!\\" & _
strComputer & "\root\default:StdRegProv")

strKeyPath = "Software\Policies\Microsoft\Windows\Network Connections"
oReg.CreateKey HKEY_CURRENT_USER,strKeyPath
strValueName = "NC_DeleteConnection"
'Enabled
dwValue = 0
'Disabled
'dwValue = 1
oReg.SetDWORDValue HKEY_CURRENT_USER,strKeyPath,strValueName,dwValue
'Not Configured
'oReg.DeleteValue HKEY_CURRENT_USER,strKeyPath,strValueName
   
PowerShell Script :          

Enabled

$RegKey = "HKCU:\Software\Policies\Microsoft\Windows"
If(Test-Path ($RegKey + "\Network Connections"))
{
 $RegKey = "HKCU:\Software\Policies\Microsoft\Windows\Network Connections"
  ##Enabled
  New-ItemProperty -path $RegKey -name NC_DeleteConnection -value 0 -PropertyType DWord -Force
  ##Disabled
  ##New-ItemProperty -path $RegKey -name NC_DeleteConnection -value 1 -PropertyType DWord -Force
}
else
{
 New-Item -path $RegKey -name "Network Connections"
 $RegKey = "HKCU:\Software\Policies\Microsoft\Windows\Network Connections"
  ##Enabled
  New-ItemProperty -path $RegKey -name NC_DeleteConnection -value 0 -PropertyType DWord
  ##Disabled
  ##New-ItemProperty -path $RegKey -name NC_DeleteConnection -value 1 -PropertyType DWord
}

Not Configured\Disabled

$RegKey = "HKCU:\Software\Policies\Microsoft\Windows"
Remove-ItemProperty -Path($RegKey + "\Network Connections") -name NC_DeleteConnection
If( (Get-Item -Path($RegKey + "\Network Connections")).ValueCount -eq 0 -and (Get-Item -Path($RegKey + "\Network Connections")).SubKeyCount -eq 0)
{
 Remove-Item -Path($RegKey + "\Network Connections")  
}
   
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Result:

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Verify code.
Result