A host of services, including electricity supply, mobile, telephone and mobile-Internet connectivity were disrupted as the cyclonic storm made landfall on Monday.
Telecom companies said they are working to restore services in the affected districts of Chennai, Kancheepuram and Tiruvallur.
"Cyclone Vardah, which paralysed Chennai and nearby areas, caused disruptions to some of our services. Our ground teams are working on a war footing to restore services in the shortest possible time," Vodafone India's Tamil Nadu Business Head S Murali said.
"We are rapidly getting the network back in place," Murali said, adding the company's 21 outlets in Chennai are operating and offering support to the customers.
Telecom major Bharti Airtel in a communication said the cyclone impacted the company's undersea network cables, affecting the speed of the Internet.
"We deeply regret the inconvenience. Our engineers are working to resolve the issue and services will be normalised shortly," the company said.
Yesterday, the state government had asked telecom companies to restore their "full network" at the earliest.
"All telecom companies are told to restore their full network as quickly as possible and it is being monitored," State Disaster Management Agency had said in a tweet.
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