As was recently announced, the Raspberry Pi Zero (V1.3) now supports the foundation's camera. It was also announced that the new Zero has a smaller connector and requires a different ribbon cable that is used on the larger form factor of the other models.
As clarified in a tweet from the Foundation's official twitter account, both camera models are supported by the RPi zero.
The only difference between the camera connectors is the form factor. No software changes are needed for compatibility. And any camera presently sold by the foundation will work for any model of RPi currently in production. Assuming you have the right ribbon cable.