Special Judge MK Nagpal passed the order after noting that there was sufficient evidence to summon Chidambaram.
The CBI had sought to set aside a special judge's March 5 order that directed the agency to allow inspection of documents kept in the 'malkhana'.
The high court had on May 18 stayed trial proceedings in the case involving Chidambaram and his son Karti.
The charge against Karti and Srinidhi was they had failed to disclose an income of Rs 6.38 crore during 2014-15.
The proceeds were payments received by Karti and his wife Srinidhi in cash during the sale of land owned by the duo in Muttukadu near Chennai.
Sivaganga MP Karti P Chidambaram on Wednesday said in Karaikudi that there was nothing wrong with actor Vijay’s plea seeking tax exemption for his car as it is his right.
The court observed that it is clear that no writ against a show-cause notice needs to be entertained by the high court.
The court extended co-accused Peter Mukerjea's interim bail in the matter till the final disposal of his regular bail plea.
Tamil Nadu polls: Kamal Haasan a 'super-NOTA'; his party will not win single seat: Karti Chidambaram
Karti Chidambaram also claimed that the Dravida Munnetra Kazhagam-Congress alliance will win over 200 out of the 234 Assembly seats in the single-phase April 6 polls.
Tamil Nadu BJP tweets Congress MP Karti Chidambaram's wife and artiste Srinidhi's photo, gets ridiculed
Interestingly, the pose of Srinidhi was part of the Semmozhi song penned by DMK president M Karunanidhi and composed by AR Rahman.
Chidambaram was arrested by the Central Bureau of Investigation (CBI) in the INX Media corruption case on August 21, 2019.
When the matter came up, a counter affidavit was filed by the Registrar General of the high court, justifying the transfer of cases.
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.
Special CBI Judge O P Saini agreed to hear the plea at 2 pm Monday after the probe agency told the court that custodial interrogation of Karti Chidambaram was required in the matter.
Special CBI Judge O P Saini put up the matter for October 8 after the counsel appearing for the agencies told the court that the main counsel was not well and requested time.