It's easy to create a bibliography from your Zotero library.
Select the references or collections you want to include. Right-click one of the selected items and choose Create Bibliography.
Choose the bibliographic style you want, select Copy to Clipboard, click OK and paste into your word processor.
This method works with any word processor (or anywhere you can paste text).
​Zotero offers word processing plugins for Word, GoogleDocs and others. The plugin adds a Zotero toolbar to your word processor that allows you to add citations to your document while you write.
The toolbar looks different on different operating systems and versions of Word. Mousing over the toolbar will pop up each button's function if they're not clearly labeled.
Zotero comes with the most common bibliographic styles, but many more are available.