The matter was mentioned before a bench comprising Justices J Chelameswar and S Abdul Nazeer by advocate Prashant Bhushan, appearing for NGO Common Cause, who sought an urgent listing of the plea.
"The matter is about a gentleman's appointment as a Special Director of CBI. We are challenging it. Kindly list the matter urgently on Friday or Monday," Mr Bhushan told the bench.
The petition termed the decision to appoint Rakesh Asthana as "illegal" and "arbitrary".
The plea has claimed that the CBI was investigating a matter in which Mr Asthana's name had cropped up.
The petition has claimed that the government and the selection committee overruled the opinion of the CBI Director in violation of the law.
It also said that the Special Director was the second highest office in the CBI after the Director and supervised almost all important cases being handled by the agency.