First I made a folder in dropbox for my game saves and made a copy of my current saves out there.
Next I removed the contents of the zsnes folder located at
(Make sure you've saved the files from .zsnes folder below first
rm * (this gets rid of the files)
Finally I setup a simlink from my dropbox to the folder so I always had my game saves synced.
ln -s ~/Dropbox/zsnes .zsnes
Substitute the path with your path and bam you're done!