Many people prefer to use a Chromebook at home for personal computing. Of course, a large percentage of those people also use an iPhone as their daily mobile device. It's certainly natural to wonder how well your favorite Chromebook pairs with your iPhone. For many iPhone users, iTunes is still an integral part of their music management routine. So, can you run iTunes on your Chromebook? The short answer we have to say is that yes, you can, but you really shouldn't because you'll run into lots of issues.