The ZE is a Canon EF mount. The Aperture is controlled from the camera. This is supported on the EF version of the BMCC.
Check the list of compatible lenses here:
viewtopic.php?f=2&t=4159These are tested by users of the camera and the list is updated as often as possible.
The Zeiss ZE's are great lenses. I would not give them up. I have the ZF.2 version. That is because I prefer a manual click free aperture.