She beat top seed Janice Tjen of Indonesia 5-7, 6-1, 6-4 in the final to win her first title of the year.
Before arriving in Chennai, she had not reached a final this season.
The third-seeded Pole beat Belarusian Aliona Falei, Japan's Moyuka Uchijima and Mai Hontama, and Russia's Anastasia Zakharova on her way to the final. Three of those matches also went to three sets.
Linette had previously reached the final in Chennai in 2022, but lost to Linda Fruhvirtova of the Czech Republic.
The latest world rankings are expected to see the 34-year-old climb from 68th to around 43rd, Polish state news agency PAP reported.
(gs)
Source: IAR/PAP