Order zinc blood testing online
In the majority of US states you can order zinc testing online and have the blood drawn at a local blood draw center (see my general overview of the process).
I'd suggest ordering from Life Extension because they have the cheapest price I know of ($35), and I've been happy with their service. You can also compare the other 5 zinc test providers I've found.
Take a look at my state-specific issues page if you're in AZ, MD, NJ, NY or RI.
Understanding the results
Chris Masterjohn has a podcast episode about zinc testing that I found really educational. There's also a transcript if you're not the podcast-listenin' type.
If you're interested in self-testing as I am, check out my Facebook or Twitter account where I post interesting self-testing news and get a little too excited about blood test sales.