MW3 might run on an HD 3000 on low settings with a fairly low resolution. We're going to need to know what exact version of Intel HD Graphics you have. Anything before Sandy Bridge and there's no chance.
It just says the Intel HD Graphic's family. I'm not sure how else to identify it. I know the release date was Jan 5, 2011, if that helps. And The GPU is GT2.
Ah, GT2 is Intel HD 3000 graphics so you might have a chance here. Assuming you're running 64-bit Windows 7, here's the driver you need.