The first thing you need to do is to tell your sniffer where to find the manager class. The easiest way to get started is with a simple require statement. So:
namespace CodingStandard\Sniffs\Classes;
require 'Manager.php';
use CodingStandard\Manager;
class Sniff {
public function f() {
// Either approach will work
$xx = new \CodingStandard\Manager();
$yy = new Manager();
}
}
$x = new Sniff();
$x->f();
As you might imagine, using require statements can quickly get out of hand as the number of classes increases. When that happens, do some research on autoloaders.