Special CBI court judge Geeta Gopi adjourned the hearing on Vanzara's bail plea and posted it on November 5.
CBI, which is the prosecuting agency, had earlier opposed Vanzara's bail plea and said releasing a politically- influential person like him could hamper the probe into the Ishrat Jahan fake encounter case.
In July last year, CBI had filed its first charge sheet and named Vanzara along with seven other Gujarat police personnel including three IPS officers P P Pandey, N K Amin and G L Singhal as accused.
CBI said the 'encounter' was fake and carried out jointly by the Gujarat police and the Intelligence Bureau (IB).
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Vanzara had resigned from service on September 1, 2013, accusing the then Gujarat chief minister Narendra Modi-led government of having failed to protect the interest of policemen jailed for 'encounters' while implementing Gujarat government's "conscious policy" of eliminating "terrorism".