Championnat d'Arménie de football
Arzumanyan grew up playing for the youth team of Pyunik Yerevan. Every year Robert improved. Having gained confidence in his game, Robert became an indispensable player. In 2005, a translation in the first team was made and Arzumanyan competed for the senior side after he turned 18. Playing with the senior club, he did not get lost, but instead played in great strength. The results of the good team did not take long. Results of the 2005 Armenian Premier League revealed that the best player to take part in the Armenian Premier League for the first time was Robert Arzumanyan. While Arzumanyan played for Pyunik, the club won the 2003 Armenian Premier League, 2004 Armenian Premier League, 2005 Armenian Premier League, 2006 Armenian Premier League and 2007 Armenian Premier League, won the 2004 Armenian Cup and won the 2003 Armenian Supercup, 2004 Armenian Supercup and 2006 Armenian Supercup.