2010-11: Igor Shestyorkin played for Kryla Sovetov's 1995-born team in Moscow — appearing in 21 games.
2011-12: Shestyorkin played for Kryla Sovetov's 1995's as the team captured a Moscow Region title and advanced to the Russian U17 Championship. Kryla Sovetov finished seventh in the eight-team championships in Omsk, going 1-2 in group play before defeating SKA St. Petersburg in overtime in the seventh-place game. Shestyorkin was selected by Moscow Spartak in the second round (43rd overall) of the 2012 KHL Draft.
2012-13: Shestyorkin was briefly with KHL Spartak — without seeing any action — and shared the goaltending duties with 19-year-old Vsevolod Kondrashov as MHK Spartak finished second in the West Division and reached the MHL Finals against champion Omsk Yastreby. Shestyorkin was 9-4-1 with two shutouts and had a 2.10 goals against and .920 save percentage in 15 regular season games for MHK and in six playoff games was 6-3 with three shutouts and a 1.59 goals against and .948 save percentage.
2013-14: Shestyorkin stopped 18 of 19 shots in his KHL debut with Spartak Moscow during the Nadezhda Cup. He played nine regular season games for Spartak and 23 games with the club's junior team MHK Spartak. He represented Russia in the 2013 Ivan Hlinka Memorial Tournament in August and was with Russia's U19 team at the 2013 World Junior A Challenge. Shestyorkin was 1-5-2 with a 2.80 goals against and .903 save percentage in KHL play (Spartak missed the playoffs after finishing sixth in its division). In 23 games with MHK Spartak he was 14-5-4 with five shutouts and had a 1.42 goals against and .947 save percentage. Shestyorkin had a 5.00 goals against and .821 save percentage in his only game at the Ivan Hlinka tournament and had a 2.98 goals against and .897 save percentage in three games at the WJAC. He was ranked ninth amongst International goalies in Central Scouting's mid-term rankings prior to the 2014 NHL Draft.
Shestyorkin is an agile goaltender who isn’t very technically sound, but complements his game with great reflexes and excellent lateral movement. He showed that he can play effectively against seniors, too, not simply at the junior hockey level, and he has a lot of potential mostly thanks to his physical abilities. He needs to further improve his technique and mental side, but can challenge shooters and can usually deal with traffic in front of the net.