Tharoor is currently MP from Thiruvananthapuram in Kerala.
The petition, started on online platform "change.org" by Thiruvananthapuram resident Paul Trivandrum, had garnered 11,000 supporters by Tuesday afternoon.
"In another two years' time India, the largest democracy of the world will face another national election. Success of a democratic country requires a strong public interest based opposition led by a visionary leader capable of prime ministership," the petition said.
"Shashi Tharoor is a man well qualified with deep knowledge of international and national issues, who can connect with the people of India and with world leaders.
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