Alberts first played internationally for the American national team at the 2006 IIHF World Championship in Riga, Latvia. He scored his first international goal in the preliminary round, a 3–0 shutout against Denmark. Later in the tournament, the United States were shut out by Sweden in the quarterfinal and finished in seventh place. Alberts returned for the 2007 IIHF World Championship in Moscow, Russia. He notched one assist as the United States finished in fifth place. They were eliminated in the quarterfinal against Finland, a 5–4 shootout loss.