I have made a baby blanket using part of one of my old Chenille Bed Spreads. It is the kind where the Chenille is raised and it ends up looking like squares. Does anyone have a suggestion as to how I would quilt that part of the quilt?

No clue ... though am totally intrigued as to what you have done.

Perhaps if you showed some pictures, we visual thinkers would have a better idea, and might be able to help you.

If you really quilt chenille you will be ruining the effect of the chenille. I would use stitch in the ditch or criss cross for the chenille.

If you mean the Chenille is outlining a flat square you could treat it like the rag quilts. On the rag quilts I usually put an X in the middle of the plain sq.& sometimes if I'm lazy I just leave it plain.

Hope you put it on the board when you finish, sounds like it would be really soft & cuddly.