http://bugs.winehq.org/show_bug.cgi?id=32726
--- Comment #2 from karaluh karaluh@karaluh.pl 2013-01-17 06:16:48 CST --- (In reply to comment #1)
Why would you need that? It is very convenient that I can still see the whole SC2 screen (for example, to see, who is chatting with me within SC2, while doing something else in another window).
Then set Starcraft to Windowed mode.
In other words: Not A Bug, IMHO.
It behaves differently on Windows, so it IS a bug.