Further details are expected to make public information linking donors to political parties over the last five years
Cyclone "Gaja" made landfall in the early hours of Friday but then weakened as it moved inland, KJ Ramesh, director general of the state-run India Meteorological Department, told Reuters.
Eleven people were known to have been killed, said an official from the Tamil Nadu State Disaster Management Authority.
The state government has set up more than 470 relief camps and had evacuated more than 80,000 people from their homes in vulnerable areas, said the official who declined to be identified as he is not authorised to speak to media.
Tamil Nadu Chief Minister Edappadi K Palaniswami announced compensation of 1 million rupees ($14,000) for the families of those killed.