Krishnan was an outstanding tennis player even in his youth. In 1979 he won the junior tournaments of the French Open and Wimbledon and was in the semi-finals of the junior competition of the US Open . Between 1981 and 1990 Krishnan won eight singles titles and one double title on the ATP World Tour . There were also two individual titles on the ATP Challenger Tour . However, Krishnan, whose father Ramanathan is one of the Indian tennis legends, earned praise and recognition , especially as a Davis Cup player. In 1977 he made his debut as a Davis Cup player with a win against Kim Moon-il and was a member of the team for fifteen years until 1993. He led the Indian Davis Cup team in the 1987 season with a score of 7: 1 in the singles final; the final in Gothenburg was lost 5-0. In his last season as a player he defeated Rodolphe Gilbert in Fréjus 2: 6, 6: 4, 4: 6, 7: 5, 6: 4.
In 2000, Ramesh Krishnan, who was taking over his father's tennis school in Madras, took over the position of Indian Davis Cup captain from Jaidip Mukerjea . From then on India qualified every year for the duels for promotion to the world group, but could never finally prevail there. After the expected 5-0 defeat against the Netherlands in Zwolle in September 2003 , Krishnan resigned and was succeeded by the still active Indian tennis player Leander Paes .