His lawyers moved the application, submitting that the clergyman was arrested after a three-day-long interrogation by the probe team.
Roman Catholic bishop Franco Mulakkal was arrested on September 21 after being accused of repeatedly raping and sexually abusing a nun between 2014 and 2016.
Police had said the nun was subjected to rape and unnatural sex by the accused at the guest house of St Francis Mission Home 13 times between 2014 and 2016.
The Bishop will have to surrender his passport and his entry to Kerala will be restricted.
According to police, no visible injury marks were found on the body of the priest.
The 54-year old Mulakkal was arrested by Kerala police after intense interrogation in Kochi over the last three days.
'The problem is not lack of evidence, but the unholy alliance between political parties and church authorities.' 'If you are raising a voice against the priest, you and your family will suffer.'