Running Service Fabric on Nano Server
AFAIK there is no support to Nano Server (yet).
Nano server has a very stripped down set of Windows APIs and I believe today SF is using some of those. The same is for .Net Full Framework (which SF depends on!) can't run on Nano Server.
Maybe when SF get support to .Net Core, we will see Nano Server support (since the only .Net version that run on Nano is .Net Core).