Answer

Bhagwan Munisuvrat Swami is the 20th Tirthankara of the present Avsarpini kaal, and traditional Jain sources give his lifespan as 30,000 years. ( jaina.org)

Explanation

So, if you are asking about his time period, the Jain tradition places him in the current descending half-cycle of time, called Avsarpini. ( jaina.org)

Takeaway

In short: Munisuvrat Swami belongs to the Avsarpini kaal, with a traditional lifespan of 30,000 years. ( jainfoundation.in)