Depends on what I'm embroidering and what kind of stabilizer used. Here's 2 ideas I've used:
1) After embroidering, cut the embroidery out like a donut hole from the piece of stabilizer. then you can just zigzag a patch and you're good to go
2) Depending on the orientation of your hoop and the width of the stabilizer roll, I have also just NOT CUT the stabilizer from the roll. Just roll a bit off, hoop it, then roll some more off so that the arm has full free movement. When you're done embroidering, cut the stabilizer close to the embroidery. This is not always possible, but it does save some if you can do it.