As long as your hypervisor supports the hyper-converged storage system you want to use, you are good to go. Of course, it depends on how you are going to introduce the storage system to the hypervisor (ACS needs to know how to handle the blocks/volumes).

Hyper-converged systems are good because you can save money with hardware and cooling, but it brings more complexity to your virtualization stack. They require extra care to plan ahead upgrade paths and execute them before you find yourself in some vendor lock-in (e.g. ScaleIO and XenServer).