Hi,
What you can do is first create a Zone-redundant snapshot of the existing disk, next create a new disk, selecting the new availability zone you prefer, and for source choose the snapshot. Once complete, you will have a copy of the existing disk in different availability zone.
For example, say you have a data disk named "data-disk-az1" in availability zone 1 and you would like it to be in availability zone 2. In the Azure portal you would create the snapshot by navigating to the disk and clicking Create snapshot:
And fill out the boxes similar to below, making sure to select Zone-redundant for Storage type:
After above completes, you would Create a resource - Create a managed disk:
https://portal.azure.com/#create/Microsoft.ManagedDisk-ARM
You would fill out the boxes similar to below screenshot, making sure to choose Zone 2 and for Source snapshot choosing the snapshot you created above:
If the above was useful please click Accept Answer.
Thanks.
-TP