The Thai star, who impressively made the cut with rounds of 69 and 71, is now at one-under-par 215 for the tournament – a fine performance for a young man making his maiden appearance at Augusta National.
World number one Dustin Johnson from the United States takes a four-stroke lead into the final round.
Jazz was undone by a poor start. He bogeyed the first and third and then doubled the fifth – where he pulled his second shot left of the green, chipped short and three-putted.
But he bravely gathered his composure of that, playing the remaining holes in one under with birdies on seven and 15, before dropping a shot on the last.
Jazz has been paired with American star Collin Morikawa, winner of this year’s US PGA Championship, in the final round. They tee off 9.34 pm Singapore time with Charles Howell III from the United States, on tee 10.
Johnson accelerated away with a bogey-free 65, his second of the week, to lead on 16-under.
The American, chasing a first Green Jacket, equaled The Masters’ record lowest score after 54 holes. He had an incredible start to his third round, thanks to an eagle on the second and birdies on three, four and seven.
South Korea’s Sungjae Im, Abraham Ancer of Mexico and Australia’s Cameron Smith are tied second on 12 under.
“I have been playing really well, I just need to get a few putts to drop,” said Johnson, who tied for second last year.
“It was a really good day, I have been swinging well all week. Even after getting off to a good start, I tried to stay patient and be aggressive when I could.
“There are so many really good players around the lead, I am going to have to go out and play well if I am going to win. I have to go out and execute.”
American Tiger Woods posted a second successive 72 that keeps him at five under for the tournament.
“I can’t win it from where I am but I can make birdies and sweep in for a top-10 finish,” he added. “I just need to make birdies – I haven’t made any this week.
“Today was a long day but I still had my chances.”