He then moved up to super-heavyweight to compete in the 2005 World Amateur Boxing Championships where he outpointed Jaroslav Jaksto 26:20, but ran into the eventual winner Odlanier Solís early and lost 26:11.

At the 2007 World Amateur Boxing Championships, he out-pointed Colombian Oscar Rivas 23:7, stopped Jaroslav Jaksto, and defeated Chinese Zhang Zhilei 21:11 before losing in the semi-finals by 14:24 to the eventual winner, Italian southpaw Roberto Cammarelle.

Nearly six years later, Glazkov defeated Steve Cunningham by unanimous decision on March 15, 2015 to earn a title fight against Tyson Fury.

Following a petition from Glazkov's camp, Fury's recognition as IBF champion was withdrawn, citing his intention to fight a rematch with Wladimir Klitschko as the reason.

The bout, which took place on January 16, 2016 at Barclays Center in Brooklyn, ended when Glazkov suffered an injury to his knee in the third round that rendered him unable to continue.