Lazarovski made his first Macedonian team at the 2000 Summer Olympics in Sydney, where he competed in the men's 200 m butterfly.

Swimming in heat two, he edged out Hong Kong's Mark Kwok to claim a second spot and twenty-ninth overall by 0.69 of a second in 2:01.30.

[2][3] At the 2004 Summer Olympics in Athens, Lazarovski qualified again for the 200 m butterfly, by posting a FINA B-standard entry time of 2:03.69 from the World Championships in Barcelona, Spain.

[4][5] He challenged seven other swimmers on the same heat as Sydney, including Olympic veteran Vladan Marković of Serbia and Montenegro.

Lazarovski failed to advance into the semifinals, as he placed twenty-seventh overall in the preliminaries.