I've a customer is using Docker managed by swarm in a vsphere environments.
He is asking me about persistent storage
I've found Docker Volume Driver for vSphere,
https://cormachogan.com/2016/06/01/docker-volume-driver-vsphere/
Is it a product available ?
I don't know the answer to this, but I'm planning on pre-empting these questions from the devs in my organization by deploying VMware integrated containers and telling them they have to use that, not docker! 🙂
Provide a NFS share for them either through a VM or via vSAN, StarWind, etc. That makes it a bit more transportable and not tied to vCenter.
Down the road, if it fits with your infrastructure, you can migrate the devs over to vSphere Integrated Containers, but that's not a quick solution for you for this question.