So the idea of applique is to sew fabric onto other fabric ... I don't think this technique will help you since you aren't really doing that ... I'm not sure what the technique would be called, but if you can find what it's called, then you will probably get some better ideas on what to do.
The only thing I can think of is to put fabric in the back and then applique your inner circles to the back. This would work, if you aren't going to see the back, but if you are going to see the back, then no, this won't work.
Good luck, and I hope you get some help!