Best Power (motorized) Zoom Lens for the BMPCC!

[iKokomo]

I am looking for a Power or motorized zoom lens for my BMPCC. 

I have been looking at this nice pancake, smaller sized Olympus M.ZUIKO Digital ED 14-42mm f3.5-5.6 EZ Lens. 

Will the Motor, power zoom on this lens work with my BMPCC? 

If not, does anyone have a list of power/motorized zoom lenses that will work with my camera? 

Thanks!

 

EDIT:  I just noticed that there is a Panasonic LUMIX G X Vario PZ 14-42mm that has a built in, physical on the lens, zoom switch. Will this work fine??