Ankita, India's top singles player, lost the second round contest 3-6, 2-6 in one hour and 21 minutes.
Indian tennis player Ankita Raina entered the second round of 2020 French Open qualifiers with a win over Jovana Jovic.
Ankita had won women's singles bronze medal at the 2018 edition of the Asian Games, while Sharan became India's top doubles player in October 2019 before Bopanna took back the position.
Ankita Raina on Saturday night pulled off a crucial singles win against Indonesia's Aldila Sutjiadi to help India win their Fed Cup tie 2-1.
Bouncing back from the narrow defeat against China's Qiang Wang, Ankita regrouped to humble Sabina Sharipova 7-5 6- to seal the tie in India's favour in one hour and 34 minutes.
Prajnesh Gunneswaran reached the second round of Australian Open qualifiers, but Ankita Raina and Ramkumar Ramanathan were knocked out.