What are you asking exactly?
does 7.1.1 run on Windows 2012? sure it does, as long as you use JDK that runs there.
if you are asking if there is commercial support for it, that is different question.
In addition to Tomaz,
You can only have Red Hat commercial support for EAP versions not for any community release, the related EAP version is EAP6.x which is build from AS7 community edition.