laminate flooring ontop of Parque flooring

Really it's a big no no as the parque can sweat underneath. Take the old flooring up then put a underlay down then laminate down.

Unfortunately the parquet flooring does need to be removed and possibly a smoothing compound and Dpm (damp proof membrane) may be required depending on the relative humidity readings that should always be taken before installing a wood floor. The reasons for this is that future moisture problems can occur because your trapping everything under the laminate The parquet can come lose too giving you a less solid subfloor which can cause the laminate to spread ( gap )

This is not a good idea as the floor will most likely pop due to moisture.