Open \wp-content\plugins\contus-video-gallery\front\views\videoshortcode.php and find the below code and hide or remove the code.
$output .= '
<!-- Facebook share Start -->
<div class="video-socialshare">
<div class="floatleft" style=" margin-right: 9px; "><a href="' . $url_fb . '" class="fbshare" id="fbshare" target="_blank" ></a></div>
<!-- Facebook share End and Twitter like Start -->
<div class="floatleft ttweet" ><a href="https://twitter.com/share" class="twitter-share-button" data-url="' . $current_url . '" data-via="' . $blog_title . '" data-text="' . $video_title . '">' . __('Tweet', 'video_gallery') . '</a><script>!function(d,s,id){var js,fjs=d.getElementsByTagName(s)[0];if(!d.getElementById(id)){js=d.createElement(s);js.id=id;js.src="//platform.twitter.com/widgets.js";fjs.parentNode.insertBefore(js,fjs);}}(document,"script","twitter-wjs");</script></div>
<!-- Twitter like End and Google plus one Start -->
<div class="floatleft gplusshare" ><script type="text/javascript" src="https://apis.google.com/js/plusone.js"></script><div class="g-plusone" data-size="medium" data-count="false"></div></div>
<!-- Google plus one End -->
</div>';
To hide share icon in the player, go to WP admin -> Video Gallery -> Settings -> find “Display Share” and disable the option.