Jason Judge

This plugin was developed to meet a specific need: an organisation had members and non-members logging into 
the blogs. The requirement called for members to be able to comment without needing administrator approval. 
Non-members needed to get their comments approved before they were displayed.
So long as users are created with the correct role (e.g. “members” and “nonmembers” in this case) this 
plugin allows you to add the “Role Approved Comments” capability to any of those roles. If the role a 
user is in has that capability, then their comments will automatically be approved.
There is no administration screen for this plugin. You must use the 
<a href="https://wordpress.org/extend/plugins/capsman/" rel="ugc">capsman</a> plugin to manage the capability. The capability 
will appear as “Role approved comment”.
This plugin does not affect any other rules you have set for approvals. For example, if comments are set 
to be auto-approved once a user has already got one approved comment through the system, then their 
subsequent comments will be approved regardless of the capability setting.
<h3>Arbitrary section</h3>

Role Approved Comment

This plugin will allow any specified role to have their comments automatically approved.

pranjan

This is a WordPress Plugin for inform a comment author on the approval of author comment on WordPress site. 
This Plugin have a admin panel setting page where you can add CC and BCC for mail.
This plugin will send a HTML email content so you can send content design as you want.
This Plugin have a HTML editor in its setting page section to design mail body.
You can insert code for site URL, Comment page URL And Site name as dynamic mail content . You can do it by inserting [site_url], [comment_url] and [site_name]. 
Key Featurs
<pre><code>HTML editor
HTML email
Dynamic URLs in mail
Option to add CC and BCC
Email Content Editor
</code></pre>
<h3>A brief Markdown Example</h3>
Ordered list:
<ol>
<li>HTML editor</li>
<li>HTML email</li>
<li>Dynamic URLs in mail</li>
<li>Option to add CC and BCC</li>
<li>Email Content Editor</li>
</ol>

Email Notification On Comment Approval

This plugin notifies the comment auther by email on approval of his/her Comment.

Role Approved Comment vs Email Notification On Comment Approval