A new functionality is available in preview for Azure File Share: the snapshot.
Azure File Share snapshot will allow you to store read-only version of files stored on Azure File Share – the same way you can already do on your local Windows client with the versioning.
You can enable the snapshot feature on your existing Azure File Share from the portal
Access the storage account used to host the Azure File Share and go the file share properties blade
Then click on Snapshot to create or view existing snapshot
Then you can use the Previous version tab from Windows Explorer to access the snapshot