With new chrome versions it is possible to run pgAdmin 4 as “native” desktop app. While the pgAdmin v4 web server is running, right click the icon in the Windows System Tray and select Configure… In the Browser Command input add the following:
“C:\Program Files (x86)\Google\Chrome\Application\chrome.exe” –app=%URL%
Note that if you have Google Chrome installed in a different location, you will need to update the chrome.exe shortcut above accordingly.

Now when you start pgAdmin 4 it has its own window which you can pin to taskbar/tab to and so on. Like before.