I looked at the video closely and wondered if I had anything on hand with a vertical slot that would do. The presser foot for the PTI came to mind, but it turned out to be too thick to hold a zipper slider, so I looked at the other attachments that came with my Singer. The edge stitcher foot has slots and is made from thinner metal.
Here it is on the machine with the regular foot removed next to it.
Here is the edge stitcher with a #3 zipper slider in place.
I tried it, and it works fine. It's a little tight getting hold of the zipper tape next to the needle, and I don't want to exert sideways pressure on the needle holder, so I'll probably just fasten the edge stitcher to an open work surface for use as a zipper jig. (First I'll try it as an edge stitcher. There are a lot of these attachments that I've never tested.)