In addition to Microsoft Office Word and Google Docs, Zotero also has a plugin for LibreOffice if you are using an open source office suite that is not web based. You can find more out about it on Zotero's website.
Using Zotero in Google Docs works very similar to how it works in Microsoft Word but instead of having to install the Add-in like we did for Microsoft Word, you will need to make sure you are using Chrome for a web browser and are using the Zotero browser connector. If you are, the please proceed to the following directions.
Zotero and Google Docs used "linked citations" which means that if you edit the citation information in Zotero, you can use the Zotero menu option in Google Docs and select "Refresh" to alter your citations to repopulated with the added/changed information you added in Zotero. You can also at any time change the citation style you are using by selecting "Document Preferences" in the Zotero menu in Google Docs even after you've already started adding citations. This will alter any current citations to the new style as well as add new ones using this new style.