Should PDO Instance be static or not

Question

I have done a little study on stackoverflow like this question [they talk on OOP perspective] and others. But, none adequately answer my question. I would also like to know the pros and cons of each. What I have now is a DB class as:

class DB extends DBWrapper{
    
    private static $pdo = null;

    public static function getInstance(){
        if(self::$pdo == null){
            self::PDOConnect();
        }
        return self::$pdo;
    }

    private static function PDOConnect(){
        try{
            self::$pdo = new \PDO('mysql:host='.DB_HOST.';dbname='.DB_NAME, DB_USER, DB_PASS);
            self::$pdo->setAttribute(\PDO::ATTR_ERRMODE, \PDO::ERRMODE_EXCEPTION);
            self::$pdo->setAttribute(\PDO::ATTR_EMULATE_PREPARES, false);
        } catch (\Exception $e){
            die("Database Connection Failed");
        }
    }
}