Reports in local media suggested that they were asked to put in the papers following the rape complaint last week against Dr Rajesh Chauhan, a Pak national.
"All doctors of Pakistani nationality have resigned. I can not comment further, as other matters are sub-judice," said the spokesperson of Apollo Hospital, Sandip Joshi.
The hospital, located in Bhat village of Gandhinagar district, is around 10 km from Ahmedabad city.
Investigation revealed that Dr Chauhan had flouted his visa conditions by accepting a job outside Ahmedabad city.
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Gandhinagar superintendent of police Verendra Singh said police will seek information from the hospital about other Pakistani doctors on its staff too.
"Chauhan was not supposed to work outside Ahmedabad, but he accepted job in that hospital. Now as the issue has come up, we will seek information from hospital to find out (other) such doctors," said Singh.
"As per the rules, a person who has been granted work permit along with Long Term Visa (LTV) must live and work within the geographical limits mentioned in the permit. We will probe the issue in detail after we get a report on Dr Chauhan from Gandhinagar police," said the joint commissioner of police, special branch, R V Jotangiya.