Hopefully they'll add linux support with that new opengl backend they have
Single player mode should be perfectly fine. Multiplayer mode which requires network may require some manual work (e.g. IPX and battle.net).
The very oldschool drawing methods were the biggest issue with wine. I had it working ~6 years ago, but it wasn't exactly easy. PlayOnLinux helps a lot, though.
https://appdb.winehq.org/objectManager.php?sClass=version&iI...