Early in his career, he played in the Armenian First League with a team of young men 17 years of age.
The next club in Petrosyan's career became the reigning Armenian Premier League champion Pyunik Yerevan.
However, after three games, because of a large percentage of transfers between the matches, the management promptly terminated the contract with the Serbian goalkeeper.
Not having competition, Petrosyan began to make periodic errors in the matches, leading to missed goals.
Petrosyan debuted in the core Armenia national football team on 11 October 2011 in a scandalous game against Ireland when first goalkeeper Roman Berezovsky was controversially shown a red card.
In that game, Arsen missed two goals, one of which was accidentally scored by teammate Valeri Aleksanyan.