He will commence his Australian Open campaign against Alexander Bublik in the first round.
Sumit Nagal becomes the first Indian in more than three decades to upset a seeded player in a Grand Slam.
India's Nagal draws world No 128 Bradley Klahn in opener.
In the women's doubles event, the Indo-Chinese duo of Sania and Peng Shuai will take on Croatian professionals Petra Martic and Donna Vekic.
India's Sanam Singh lost to Peter Polanski for the second time in two months and crashed out of the ATP Knoxville Challenger event in the United States.
Sanam Singh knocked out fifth seed Donald Young in straight sets to move to the singles quarter-finals of the ATP Knoxville Challenger event in the United States.
India's leading doubles players Rohan Bopanna and Sania Mirza began their US Open campaigns with victories in their respective events.
India's Sumit Nagal advanced to the second round of the men's singles after outclassing American Bradley Klahn 6-1, 6-3, 3-6, 6-1 at the US Open in New York, on Tuesday.
Yuki Bhambri avenged his last week's defeat against James Duckworth by knocking out the home favourite Australian from the Traralgon event and earned himself a shot at his second title on the Challenger Tour on Saturday.
Leander Paes will kickstart his US Open campaign with Czech partner Radek Stepanek against Jarkko Nieminen of Finland and Dmitry Tursunov of Russia.
Following his title win at the Traralgon Challenger event, Indian tennis player Yuki Bhambri leapfrogged 73 places to 204 in the singles rankings on Monday even as Rohan Bopanna dropped out of the top-10 in the doubles chart.
Sumit Nagal immediately set his sights on Thiem who has reached two French Open finals, losing both to Nadal.
It was end of US Open campaign for Somdev Devvarman and Mahesh Bhupathi after they lost their respective hard-fought matches even as Rohan Bopanna had a mixed day.
Coric, who had failed to win a match in his last two appearances in Beijing and Shenzhen, saved two break points at 3-3 in the second set and clinched the first four games of the decider to record his 32nd match win of the season.
A summary of sports events and sports persons, who made news on Thursday
Barty survived a first-round scare at the US Open on Monday
Images from the third day at the US Open, the final Grand Slam tournament of the year, in New York, on Wednesday:
Konta, Sharapova fall at Rogers Cup in Toronto
World No 55 Haase improved to a 2-2 career record against Zverev, including victories in their last two meetings.
Big-serving Isner reaches Montreal second round
Yuki Bhambri won his first ATP Challenger level singles title of the season and second of his career on Monday after humbling top seed American Bradely Klahn (ranked 123) in the rain-hit summit clash of the Traralgon event in Australia.
A summary of sports events and sports persons, who made news on Wednesday
Rafael Nadal was made to wait before his second-round Rogers Cup match due to several rain delays but did his part to put the schedule back on track with a speedy 6-2 6-3 win over Frenchman Benoit Paire on Wednesday.
Images from Day 2 of the 2020 US Open in New York
IMAGES from the matches played on Day 4 of the Wimbledon Lawn Tennis Championships at All England Lawn Tennis and Croquet Club on Thursday