Is CFT running on a Windows Hyper V SERVER?

According Microsoft,
By having the ability to plug into existing IT infrastructures Microsoft Hyper-V Server 2008 R2 enables companies to reduce costs, improve utilization and provision new servers. It allows IT professionals to leverage existing patching, provisioning, management and support tools and processes. IT Professionals can continue to leverage their individual skills and the collective knowledge of Microsoft tools, minimizing the learning curve to manage Microsoft Hyper-V Server 2008 R2. In addition, with Microsoft providing comprehensive support for Microsoft applications and heterogeneous guest operating systems support, customers can virtualize with confidence and peace of mind.

So even it is not in the supported platforms Axway document yet, it should works just fine with actual product versions from Synchrony 4.3.
Note that Windows Server 2008 R2 is a supported platform and the Virtualization sounds to be trouble free according Microsoft documentation.

In case customer needs an official letter about the support of the V architecture, the request must be sent to the SalesRep accordingly.