There is nothing wrong with this at all. As long as the parquet is showing no signs of damp and is nice and flat, it should be a perfect substructure to lay a new floor on.
You will create a step up into rooms with the new flooring in, due to the extra thickness you are adding to the floor. Any damp should be addressed before covering.
Also as a thought, have you considered hiring a sander and refinishing the parquet flooring? Tough work, but well worth the effort. Or at the very least, don't glue down your new floor, so the next owner of the property can have the pleasure of uncovering it.
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