"What Chandrababu Naidu has done is absolutely right. The BJP is using the CBI and other agencies to pursue its own political interests and vendetta," she said.
The general consent was accorded to the CBI by the then Left Front government in West Bengal in 1989.
With Friday's notification, the central agency would henceforth require permission from the state government to carry out any sort of investigation except those ordered by the court, the official said, requesting anonymity.
The CBI functions under the Delhi Special Police Establishment Act.
In Andhra Pradesh, a 'confidential' government order withdrawing the 'general consent' accorded to the CBI to exercise its authority in the state, issued by Principal Secretary (Home) A R Anuradha on November 8, was "leaked" late Thursday night.