Get traffic to it. Link to it. Use Good Keywords in it so reader find it. Post snipits of the article on other site with a Read more link at the bottom. Get your friends to vote for it. (if you can do that on enzine im not sure) If you share the article people will give better advice or ideas.
I have many websites, and I'm building links to those sites through Ezine. I always observe Ezine articles get very good places so I want to improve them as It may be easier to get fast good results from Ezine than my new simple sites.
Submit articles to another article directory and use one of the links to link to your ezine article you are trying to promote.
If you do a proper keyword research and opt some low competition and good traffic keywords, you can get good ranking of your ezine articles in search engines. SERP also depends on when the article gets published, like if your article is published during the weekend; there is high possibility of getting good search engine ranking (as the articles will be on high PR and high traffic ezine category page for longer time) but the facility of scheduling the articles is only for paid members (Premium Members). A Quick social bookmarking of your articles using socialposter.com or socialmarker.com may also help building a few links that may lead to good search engine ranking.
This is a good idea, I also find this method; Submit your author page RSS feed to all these directories: http://www.dotsauce.com/2007/06/06/55-active-rss-directories-to-help-promote-your-feeds/
I optimize Ezine especially to get my site ranked well using anchor text and traffic is only the second choice
I have a problem with Ezine. When I try with SeoQuake to see backlinks of an article, I can't see them anymore(I just see other articles on the same categories, does EZA link them togheter now?)...I used to be able to see them, I tried and other backlink checker, but no one work....does someone know a way to do it?...