<%= link_to ((image_tag \'image.png\'), url_for({:controller => \'controller_name\', :action => \'action_name\'}), :class => \'quick\',
Try this.
<%= link_to image_tag('/images/image.png') + "some extra text", url_for({:controller => 'controller_name', :action => 'action_name'}), :class => 'quick', :remote => true %>