You should never have to worry about your hardware configuration being incompatible with an application, because if Windows can run on the hardware (and anything you can find in the consumer market is Windows compatible), your application can too because your application is running on top of Windows (with the exception of certain GPU accelerated applications). This is especially true for CPUs because any CPU you can find will use an x86 architecture or derivative (x86-64 or IA-64).

You just have to make sure all of your hardware is compatible with the other components in your system (mobo has to have the right CPU socket, i7 is only compatible with DDR3 RAM, certain motherboards no longer have IDE drive support, etc).