https://bugs.winehq.org/show_bug.cgi?id=42741
--- Comment #37 from Andrew Wesie awesie@gmail.com --- I created a fork of the gamax92's wine-overwatch repository and patched a couple of other issues that were only affecting Starcraft.
If you want to try it out, build a 32-bit version of wine from the code at https://github.com/awesie/wine-starcraft.
If you get a RtlpWaitForCriticalSection error and then it hangs, use winecfg to change to Windows XP. Windows 7 does not currently work.
Or if you get "A StarCraft service has failed to launch." make sure you are running as Windows XP.
If it crashes when you go to Multiplayer, then you need to install corefonts using winetricks. Starcraft uses libcef which requires the Arial font.