Will azure allow me to run Windows 7 OS for automated testing?

Our group has been investigating the use of the cloud to help speed up our automated regression testing of Windows desktop apps written in C#.

One person at a AWS conference told me that Microsoft does not allow client OS' to be run in a public cloud, like Amazon EC2.  Is this true? Can I do it in Azure?

We simply want to create a Win 7 ( and Win 8) image, start it as a VM (or whatever) and have our Jenkins server start the automated regression test.

We are doing it all locally now, but would like to rely less on local hardware.

Thanks

Richard