I'm getting the impression that some of the responses assume you have a washable faux suede. Is that the case? And if so, is it pieced, or just one large area? If pieced and washable, you could use the temporary adhesive and stitch in the ditch to keep it attached and lined up permanently with the batting and back.
To answer your question, there are fusible battings available that fuse on one side or both. I found them via Google but have not tried either. I have enough of a challenge when I use spray fuse, which is repositionable.