Computer Configuration > Administrative Templates > Google Chrome
Both
HKLM\Software\Policies\Google\Chrome
Setting the policy to Enabled or leaving it unset means browser history and download history can be deleted in Chrome, and users can't change this setting. Setting the policy to Disabled means browser history and download history can't be deleted. Even with this policy off, the browsing and download history are not guaranteed to be retained. Users may be able to edit or delete the history database files directly, and the browser itself may expire or archive any or all history items at any time.