AIADMK Spokesperson C Ponnaiyan said Jayalalithaa was "very well" and that she will soon take over the reins of the party as well as governance.
"The Chief Minister is very well and will be returning home soon. The time when governance and political work under Amma duly happens is just around the corner," he said.
Speaking to reporters here, he thanked the doctors who treated the 68 year-old leader and people who prayed for her recovery.
Another party spokesperson, Panruty S Ramachandran, said Jayalalithaa's signed statement proved she was ready to serve the people of the state again.
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"She has made it clear she is ready once again for public service. She has said she has taken rebirth. This shows her service to people of Tamil Nadu has not gone waste," he said.
Meanwhile, buoyed by Jayalalithaa's statement, some party workers distributed sweets to members of public outside the Apollo Hospital here.
In her first communication since being hospitalised in September, the chief minister said she did not have any grievances in view of the people's "great love" for her, and that, "by God's grace, very soon, by recovering fully, I am waiting to resume work."
The AIADMK supremo was admitted to Apollo Hospital here on September 22 after she complained of fever and dehydration. Later, the hospital had said she was being treated for an infection with respiratory support, among others, by doctors including specialists from the All India Institute of Medical Sciences, New Delhi, and from London.