Track Chandrayaan-3's Propulsion Module live in its highly elliptical Earth orbit (NORAD 57770). This is the only component of the mission still in trackable orbit — the Vikram lander and Pragyan rover remain on the Moon.
In 2023 Chandrayaan-3 made India the first country to land near the Moon's south pole. See the Propulsion Module's real-time position, propagated from public orbital data.