On February 11, 1979, he was the surprise choice of coach Viktor Tikhonov to start in the deciding game in the Challenge Cup tournament against the National Hockey League all stars.

After Tretiak gave up two goals in the first period of the famous Miracle on Ice game versus the USA in the medal round of the 1980 Winter Olympics, Tikhonov replaced him with Myshkin.

He faced only 2 shots in the second period, and stopped them both, but gave up 2 goals in the third scored by Americans Mark Johnson and Mike Eruzione.

As the starting goaltender of the national team, he backstopped them to a bronze medal at the 1985 World Championships and a gold in 1986 on home ice in Moscow.

After 1986, he appeared only once more at the World Championships, that being in 1990 as the team's third-string goaltender in a largely token gesture, as Myshkin had already announced he would retire following the season.