Metropolition judge K J Upadhyay rejected the CID application.
Inspector N H Dabhi, and constables Ajay Parmar and Santram Sharma were produced before a magistrate by the state CID (Crime), which is probing the case.
The three are likely to be taken to Hyderabad during their remand, CID sources said on Wednesday.
The doctor treating Rajat said his condition was improving. Pant may come to Jhabreda in a day or two to visit Rajat, the doctor said, quoting the cricketer's PA.
Romesh Sharma, alleged frontman of underworld don Dawood Ibrahim,was on Monday given life imprisonment in fashion designer Kunjum Budhiraja murder case.