The panel powered Zulu has a LEMO plug with multiple pins (does not have the 2 normal plugs) - you need a LEMO connector on the panel in the plane, which I doubt the ATR would have. It still has the control box for volume controls but, unlike the battery operated ones, does not have space for batteries.
So, to answer your question - no, the panel powered Zulu cannot be run on batteries.
Probably best to get the battery version - cheaper and can be easily transferred between aircraft, unless you fly only one aircraft with a LEMO connector, then it's probably neater (1 cord instead of 2)