You cannot float a floor over parquet on concrete. The parquet will buckle! Seriously!!
If you lay plastic down and then fasten the plywood subfloor, puncturing the plastic, what have you accomplished? It is no longer a moisture barrier!!! It is called a waste of money.
Float the plywood subfloor over the plastic, after you remove the parquet. You will need to cut the plywood into 2' x 8' panels and stagger the joints, running them the opposite direction of the finish wood layout.
I personally won't do a ¾" over concrete. It can be done, but too risky. I have never lost money on a job I didn't do.