Wood Over Painted Concrete?

After tearing out the carpet in my fixer upper, the base flooring was just unfinished concrete, and stained chipped terrazzo. I would have liked to have kept the terrazzo but too many cracks. As a quick fix I was thinking of using concrete paint to cover everything up till I had the money to lay wood flooring. Will the paint on the floor effect laying parque or standard wood over top of it?

Thanks