Google shared in a statement recently that the Metro style Chrome browser will be coming to Windows 8. Furthermore, instead of being based on the Android version of the browser, it will be the full desktop version, although it will be optimized for touch support, enabling users to use Chrome on any Windows 8 tablets as well. An unnamed Google spokesperson said, "Our goal is to be able to offer our users a speedy, simple, secure Chrome experience across all platforms, which includes both the desktop and Metro versions of Windows 8."

Here's a quote from the SlashGear article with a few more details,

The Metro Chrome confirmation raises even more questions about how much work developers are going to have to put into supporting Windows 8. Will there really be a situation where two versions of the same app exist, one for Metro, and one for the traditional desktop interface? For browsers, that’s not necessarily the case. Mozilla revealed last month that they have been working on a version of Firefox that includes both a Metro and desktop interface in a single app. This is presumably what Google are also doing.

Right now in the Windows 8 Consumer Preview, one version of Internet Explorer runs specifically on Metro, and doesn’t support Flash, while the other runs in desktop mode, both sporting radically different interfaces.
Source: SlashGear