If you are describing what I think you're describing, you'd probably have to get a jackhammer to remove the concrete. If you still need a place to park, you could install open celled pavers. There's info on this thread:

http://www.dcurbanmom.com/jforum/posts/list/503473.page#7669354

I'm not following what you suggest. I have friends who have a deck on top of their garage to add extra space, but are you suggesting eliminating the parking and making it a yard? Are you suggesting somehow making it grass and serving a dual parking/yard function?

We have a large parking pad behind our rowhome, we would love to have this raised a few feet and to create a green space. Who would I call for this? Anyone have this done before?