Edgar Torosyan was born on August 28, 1985 in Yerevan. Most of his coaching career he spent in FC Ararat. Torosyan was the head coach of "Ararat II". and interim head coach of Ararat's main team at the end of the 2017/18 season. Edgar Torosyan has a UEFA Coaching PRO License.
At the beginning of the 2020/21 season, Torosyan joined the coaching staff of Vardan Bichakhchyan as an assistant coach.