I tried to open nwn enhanced edition. A GOG screen came up with a option to click play. I clicked play, but the button merely flickered and the game did not open. I tried to reinstall the game but the same thing happened? Has anyone else had the same problem or can help me run neverwinter nights enhanced. Thanks in advance.

Check the support pages on GOG to see if you may be experiencing a common issue they have a workaround for, and also check the NWN specific forums here.

There is a known problem on AMD Radeon hardware in which you have to rename the game executable due to a problem with AMD's video driver that will cause the game to not start, so if you're using AMD hardware that could possibly be the cause.