Hi ItsMeSri,
If you import a site to another site in SharePoint foundation 2013 with PowerShell, and then you can use PowerShell to add this imported site url in parent site Toplinkbar and QuickLaunch, here is a code sample you can try.
$subweb = Get-SPWeb http://sp/sub3;
$spweb=(Get-SPsite "http://sp").rootweb;
$newLink = New-Object Microsoft.SharePoint.Navigation.SPNavigationNode -ArgumentList @($web.Title, $web.Url);
$spweb.Navigation.TopNavigationBar.AddAsLast($newLink);
$spweb.Navigation.QuickLaunch.AddAsLast($newLink);
$spweb.Update();
http://sharepoint.stackexchange.com/questions/100317/add-link-topnavigationbar-to-a-publishing-site-by-powershell
Thanks,
Daniel Yang
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