Present at the protest site near the Gandhi statue were Congress leaders Shashi Tharoor, Karti Chidambaram and Manish Tewari among others.
The charge sheet names 14 accused, including the Congress leader's son Karti Chidambaram, Peter Mukherjea and Indrani Mukerjea.
The agency might also name senior government officials who were part of the decision-making process related to foreign investment clearance given to INX Media.
The court issued notice to Chidambaram and Karti on the agency's petition seeking cancellation of their anticipatory bail.
Chidambaram has been lodged in Tihar jail since September 5 by a Delhi court in connection with the INX Media corruption case.
When the matter came up, a counter affidavit was filed by the Registrar General of the high court, justifying the transfer of cases.
Karti, who is facing proceedings in cases like Aircel-Maxis and money laundering matters, had deposited Rs 10 crore pursuant to the condition imposed by the apex court for travelling abroad.
The Chidambarams are under the scanner of investigating agencies in the Aircel-Maxis deal as also the INX Media case involving Rs 305 crore.
The cases relate to alleged irregularities in grant of Foreign Investment Promotion Board (FIPB) approval in the Rs 3,500-crore Aircel-Maxis deal when P Chidambaram was finance minister.
The apex court is scheduled to pronounce on September 5, its order on Chidambaram's plea in the ED case.
Indrani and Peter, who have been jailed in the murder case of Indrani's daughter Sheena Bora, had first named P Chidambaram and his son Karthi in the case related to the INX Media case.
Chidambaram was arrested on Wednesday and was sent to four-day CBI custody.
The ED told the SC that Chidambaram had 11 "immovable properties" and 17 bank accounts abroad and his custodial interrogation was required to unearth the larger conspiracy in the case.
Parthasarathy, who arrested the former union minister's son Karti in 2018, is a calm, shy but a determined officer, his colleagues say.
Soon after entering the courtroom, Chidambaram was seen having discussions with his party leaders and senior advocates Kapil Sibal, Abhishek Manu Singhvi and Vivek Tankha.