Options are in order of preference (subject to change as I keep testing this!) Here's a screencast (2/19/2014)
Note: If you email yourself a link to an item through Search It's email menu, you will *not* be able to add that item to your Zotero library using the URL from the emailed link. Use one of the options below instead.
11/18/2013 Update: Its looking pretty good. I'll be posting instructions soonish (text and video) on how to use Zotero with Primo (or Search It, as we are calling our instance of it here at WSU).
tl; dr version:
Longer Version with Workarounds (last updated 8/30/13)
The Primo/Zotero question is still a bit up in the air, and a bunch of people are working hard to smooth things out. It’s not just us - Primo is being moved to by a number of other academic libraries all over the country, so there is a big incentive to work this out (Zotero is not the only reference management application potentially affected by it either). I’m confident that by the time we start to use Primo, everything will be fine. As it is now, however, while there are issues, they can be worked out.
In my own experimentation, you can add a book via the ISBN (using the highlighter icon) and then review it (“check twice; cut once”) to make sure you captured everything you wanted – you’ll certainly have to add in things like the catalog name, but our own WSU WorldCat gets that wrong every time in Zotero anyway, auto-adding Open WorldCat instead of WSU WorldCat ;-)
You can also add via the batch command (the yellow folder). You’ll have to do a bit more clean up, but that is a one-time thing. And of course, there is always the option to add it manually, using cut-and-paste.
In the case of articles, you can look for a DOI or add via the batch command and make any necessary edits, if you prefer the Primo interface to the native database interface. An increasing number of publisher sites are Zotero-compatible as well (ScienceDirect/ Elsevier, Sage, Springer, Wiley, etc.) so articles can be added directly from the publisher site via the translator icon - and about six out of ten times you'll automatically get the PDF added to your Zotero library as well!
In my view, getting something into Zotero does not take long even if you have to cut-and-paste and in the end is less significant than what you do with it once its in your library. However, if this is a dealbreaker for you or a bit too ambiguous, you may want to check out EndNote (my colleague Chelsea Leachman teaches EndNote classes – find out more at http://libguides.wsulibs.wsu.edu/endnote ).