Born in Eraviputhenthurai, Tamil Nadu, Soosairaj first moved to Chennai when he attended Madras Christian College. At the age of 10 he started training with his local football club/academy St. Catherine FC and FASC one of the oldest football clubs in the state. He represented the college in Inter-University tournaments before joining Arrows Football Club of the CFA Senior Division. After spending time with Arrows, Soosairaj joined another CFA Senior Division side, Chennai City. He also played for Tamil Nadu in the Santosh Trophy. In December 2016, Chennai City FC were announced as a direct-entry side into the I-League, India's top tierfootball league. On 17 January 2017, Soosairaj made his professional debut in the I-League for Chennai City against DSK Shivajians. He came on as a 61st-minute substitute for Malsawmfela despite Chennai City losing 2–0. On 8 April 2018, Soosairaj scored his first professional goal in the league against Minerva Punjab. His 41st-minute goal was the first in a 2–0 victory. He then scored his second goal of the season a few weeks later on 22 April against Churchill Brothers. This time, Soosairaj scored Chennai City's only goal in the 54th minute as they lost 5–1. The next season, Soosairaj scored his first brace, scoring twice against Churchill Brothers on 17 February 2018. His two goals contributed to a 3–1 victory for Chennai City. He then scored his third goal of the season a couple weeks later on 2 March against Minerva Punjab. His 5th-minute goal was the first in a 2–1 victory for Chennai City. After the 2017–18 season, Soosairaj was named the league's best midfielder by the All India Football Federation.
On 9 March 2018, it was announced that Soosairaj had signed for Jamshedpur of the Indian Super League. He scored 4 goals in 14 matches during the 2018-19 season. He was brilliant through out the season playing as a left or right winger. He earned a lot of admiration for his performance. He was one of the standout Indian players of the season, and his performances led to him gaining his first international call-up.
ATK
Before the start of the 2019-20 season, Indian Super League side ATK activated the release clause of Michael Soosairaj as Soosairaj scored against Mumbai City FC this season, assisting ATK in a 2-0 win.