Soloyan has previously worked with the Iranian cycling team.
The Iranian federation had also negotiated with a German coach.
He will take charge of the youth and senior teams. Soloyan will be assisted with the Iranian trainers.
Soloyan will head the teams until the 2016 Asian Games in Jakarta, Indonesia.
The Armenian coach will earn $2,000 per month, according to head of Iran Cycling Federation Khosro Ghamari.