Apache cordova plugin will support external website inside the phonegap app?

Add the InAppBrowser plugin for allowing to open external links so you will be able to come back to your application :

<script>
function openExternal(elem) {
    window.open(elem.href, "_system");
    return false; // Prevent execution of the default onClick handler 
}
</script>
<a href="https://www.twitter.com" onClick="javascript:return openExternal(this)">Twitter</a>