A three-judge bench headed by Chief Justice H L Dattu sought response from the government on the PIL filed by Pet Lovers Association on the issue.
Senior advocate Salman Khurshid, appearing for the association, said that there are already laws in place to protect birds who can be domesticated.
He said that the High Court order that they have the fundamental right to fly is a flawed one and required to be struck down.
Earlier, the court had refused to entertain an appeal against the High Court order on the ground of delay and had rather suggested to Khurshid to file a PIL instead.