How to add filter in “Comments” at the admin panel?

Working Example ^[Update]

From this Answer, by @TheDeadMedic, here’s an adaptation to show only comments from a specific post_id. A link to this action is inserted in the status row.

Hello World is the post with ID 53.

When clicked it displays only the comments of that post in the URL
example.com/wp-admin/edit-comments.php?comment_status=all&hello_world=1:

add_action( 'current_screen', 'wpse_72210_comments_exclude_lazy_hook', 10, 2 );

/**
 * Delay hooking our clauses filter to ensure it's only applied when needed.
 */
function wpse_72210_comments_exclude_lazy_hook( $screen )
{
    if ( $screen->id != 'edit-comments' )
        return;
    
    // Check if our Query Var is defined    
    if( isset( $_GET['hello_world'] ) )
        add_action( 'pre_get_comments', 'wpse_63422_list_comments_from_specific_post', 10, 1 );

    add_filter( 'comment_status_links', 'wpse_63422_new_comments_page_link' );
}

/**
 * Only display comments of specific post_id
 */ 
function wpse_63422_list_comments_from_specific_post( $clauses )
{
    $clauses->query_vars['post_id'] = 53;
}

/**
 * Add link to specific post comments with counter
 */
function wpse_63422_new_comments_page_link( $status_links )
{
    $count = get_comments( 'post_id=53&count=1' );

    if( isset( $_GET['hello_world'] ) ) 
    {
        $status_links['all'] = '<a href="edit-comments.php?comment_status=all">All</a>';
        $status_links['hello'] = '<a href="edit-comments.php?comment_status=all&hello_world=1" class="current">Hello World ('.$count.')</a>';
    } 
    else 
    {
        $status_links['hello'] = '<a href="edit-comments.php?comment_status=all&hello_world=1">Hello World ('.$count.')</a>';
    }
    
    return $status_links;
}

Useful Hooks

Search for the hooks bellow, they are available in the file /wp-admin/includes/class-wp-comments-list-table.php.

It’ll give you a panorama of the possibilities for the Comments screen.

Actions

• manage_comments_custom_column
• manage_comments_nav

Filters

• comments_per_page
• comment_status_links
• admin_comment_types_dropdown
• comment_edit_pre
• comment_row_actions