Satin is a very different texture to felt. But I've successfully cut raw silk with Nestabilities, so I don't think satin should be much different. I do remember that I had fused mine to some interfacing, but if you're making dimensional flowers you may not want to do that. And it may make no difference - I was just trying to keep the edges from fraying.
Phew, I had to go back a long way, but here are the silk flowers I cut with one of the Nestabilities Blossoms sets -
TLC230 Bowl of Peonies by Cook22 - Cards and Paper Crafts at Splitcoaststampers