Turn off "Show an icon in System Tray" preference?

In the User Preferences window, Mail Tab, there is a feature:

“Show an icon in System Tray”

Is there any way to turn that off (uncheck) through Script/API?

An Administrator seems to think it is causing a problem.

I wanted to be able to send a button in an email to all users to click this button which would turn this off (uncheck) in their preferences.

Thanks!

Dan