As a pilot - freecall is just that - freecall - no coordination has been effected and no handover given and no details passed.
If you had told us that our transponder/IFF was u/s then on our initial freecall we would pass that info on..........eg no mode C because readout incorrect!
If you told us to continue on a 0000 code then that should tell the story anyway!
Freecall as far as I am aware can only happen in class G and in that airspace I am entitled to initiate that so you may not have time anyway!
Regards,
DFC