Drozdetsky played on the Soviet national team in 1981, 1982, 1984, and 1985, which won the IIHF World Championships in 1981 and 1982, the Olympic Gold medal in 1984, the 1981 Canada Cup, and the 1981, 1982, and 1985 European championships. He was the top goal scorer at the 1984 Olympics with ten goals in seven games, and also led the Soviet team with 12 points.