Bliznyuk was a starter for BATE Borisov during their successful 2008–09 UEFA Champions League campaign. He scored several important goals in qualifying rounds, helping BATE to qualify to the group stage of the UEFA Champions League for the first time in their history.
Bliznyuk played as a starter for BATE Borisov during their victorious 2008–09 UEFA Champions League campaign. In the qualification stages, he netted several vital goals that helped BATE secure their first-ever entry into the group stage of the UEFA Champions League.