D3 can indeed run on integrated graphics. I used to play D3 at work during downtime on a piece of sh.. computer. No 60 FPS though, but there is one trick that will let you run D3 on a toaster: Windowed mode. Trying to run 1080p 60 FPS simply won't work for the likes of intel hd 2000 and similar. But by turning all the settings to the very lowest, including the "Low FX" button, you should be able to run it in windowed mode on just about anything. For solo play it should run at <40 FPS on most integrated systems given there's enough RAM and CPU available.
With that said however, people with massive rigs still experience frame rate drops in very intense battles w/ 4-player groups. It's just shitty optimization from Blizzard.