I'm currently working on a Large accessibility sensitive project using bootstrap, which is a similar framework.
In general there were not to many issues with using the framework. There are a few things you should check though.
Semantic mark up. For example Bootstrap uses the i tag for icons. We rewrote the icons styles to use background images on other elements using pseudo elements.
It seems Foundation have worked through this problem: http://www.zurb.com/article/1047/bigger-stronger-new-accessible-foundation
A user on github identified some issues with zurb .
These could be worth checking. zurb by default doesn't use aria codes. Error messages are indicated with color.
All these things are the sort of issues you would have to work through without a framework. The framework isn't blocking you from achieving accessibility compliance - but it isn't all done for you.