I’m by no means an expert on Zuni fetish necklaces; I actually find them a little intimidating to tell fakes from real ones, and there are a lot of fakes out there. But I like to refer people who ask about them to this thread, which I think has a lot of good info:
The chart in that thread is really helpful and comes from The Keshi Foundation, a reliable source. Based on the information from the chart, I would guess that this necklace is not genuine Zuni. I also agree with Jemez that it looks like it’s probably compressed turquoise.