Zotero will work with a number of different (but not all) versions of Open Office and Microsoft Word. Documentation for integrating Zotero with word processing programs can be found at:
Zotero can bee sync to your Google Docs using the internet browser that has a Zotero connector installed, you will see a Zotero option added to your menu. Interacting with the Zotero functionality for the first time in a document will prompt you to authenticate the plugin with your Google account. Once authenticated you can begin inserting citations from your Zotero libraries.
To add a citation to your document, choose "Add/edit citation" from the menu or click on the Z button in the Google Docs toolbar. You will be prompted to choose your citation style.
Zotero comes with the most common bibliographic styles, but many more are available to download.
To install a style (Firefox):
If you just want to quickly add references to a paper, email, or blog post, Zotero's drag-and-drop "Quick Copy" feature is the easiest to go. Simply select items in the center column and drag them into any text field. Zotero will automatically create a formatted bibliography for you.
You can also have Zotero work directly with text processors such as Microsoft Word and LibreOffice/OpenOffice/NeoOffice. Download the appropriate plugin, there is no need to download the plugin again if you have Zotero Standalone.
The Zotero Toolbar allows you to insert and edit citations and bibliographies, set your document preferences and remove field codes.
PC: After installing the plugin you'll see a tab labeled 'add-ins' in Word. Click it to bring up the Zotero toolbar.
Mac: The Zotero toolbar will float near the top of your screen. If you don't see it, go to the View menu, then Toolbars, and click Zotero to add a check mark.