<%= link_to ((image_tag \'image.png\'), url_for({:controller => \'controller_name\', :action => \'action_name\'}), :class => \'quick\',
Try this:
<%= link_to (image_tag('image.png') + text, url_for({:controller => 'controller_name', :action => 'action_name'}), :class => 'quick', :remote => true) %>
The first argument is the text part and with image_tag you create HTML, but you can easily append stuff.