Custom Controller for latest posts

customize-api.php

<?php

$wp_customize->add_control( new WP_Customize_Latest_Post_Control( $wp_customize, 'latest_post_control', array(
  'label' => __( 'Select A Featured Post', 'mytheme' ),
  'section' => 'header_section',
  'settings' => 'featured_post',
  'post_type' => 'page'
)));

wp-customize-latest-post.php

<?php

if( class_exists( 'WP_Customize_Control' ) ):
  class WP_Customize_Latest_Post_Control extends WP_Customize_Control {
    public $type = 'latest_post_dropdown';
    public $post_type = 'post';
    public function render_content() {
      $latest = new WP_Query( array(
        'post_type' => $this->post_type,
        'post_status' => 'publish',
        'orderby' => 'date',
        'order' => 'DESC'
      ));
      ?>
      <label>
        <span class="customize-control-title"><?php echo esc_html( $this->label ); ?></span>
        <select <?php $this->link(); ?>>
      <?php
        while( $latest->have_posts() ) {
          $latest->the_post();
          echo "<option " . selected( $this->value(), get_the_ID() ) . " value='" . get_the_ID() . "'>" . the_title( '', '', false ) . "</option>";
        }
      ?>
        </select>
      </label>
    <?php
    }
  }
endif;