Career
Randers Football Club
Babayan has played for Randers Football Club since he started playing football. On 11 November 2013, Babayan got his debut for Randers Football Club at the age of 18. Babayan started on the bench, but replaced Alexander Fischer in the 83nd minut in a 1-4 defeat against AaB. In February 2014, Babayan signed his first professionaland full-time contract ever, with Randers Football Club. Babayan scored his first goal for Randers on 9 July 2015, when he came on the pitch in the 59nd minut replacing Joel Allansson, against Andorran club Sant JuliĆ in the Europa League qualifications.
Babayan scored in the 73nd minute on a freekick.