Whilst gridmanager.js is primarily intended for use in Bootstrap 3.x, it has been deliberately put together so that you can integrate any CSS framework which has a similar grid concept.
The only real pre-requisites are the concept of a 'row' which has it's own class, and a column class (such as col-md-6, span6, large6 etc) which has a numerical reference at the end. As such, you can actually make gridmanager work in Bootstrap 2.x & Foundation 5.x by just changing the various classes in the options to suit your needs.
Since version 0.2.3 we went for fontawesome as a default meaning it's a lot easier to use another framework, as you don't have to constantly worry about icons.
Please see the source code of the demo foundation version for the recommended options to set.