yes you can submit your site in no follow directory but can't get back links from there if you are doing submission only for back link then use do-follow directories. if you are using no-follow tag into your site then google crawler din't index that page where you use this tag it's mean google didn't index that page. DO-follow - if you are submit your site into do-follow directories then there is chance for getting back link from that directory. Lot's of guys are submitting there site into no-follow director because they want traffic from that page not for back links
You can submit your website to any directories but if they have a no follow tag then the link will not be counted as a backlink by Google! Its good for traffic flow and rubbish for SEO
In one of a blog it said that nofollow also give link juice but not that much and there was some policy change . it will be better to get some visitors.