Fritsch tied for ninth with a 7-under 281, seven shots behind winner Tiger Woods.
"First top ten on PGA Tour. Was the ultimate grind today, best thing I can say is, I ran thru the finish line with 2 birdies on 17 and 18," Fritsch tweeted after the tournament.
Fritsch, a Canadian golfer who now lives in Holly Springs, earned a spot in this weekend's Waste Management Phoenix Open at TPC Scottsdale.
After three stellar rounds of 69-67-70, Fritsch was in fourth place heading into the final round. But with poor play on the back nine, he was 5-over after 15 holes. A chip-in par on 16 and birdies on the final two holes secured his best finish after eight starts on the PGA Tour.
Fritsch, who played golf at Campbell University, turned pro in 2000 and played on the Canadian Tour and Web.com Tour before earning a spot on the PGA Tour last month at Q-School. Since then, he finished tied for 36th at Sony Open and tied for 65th at the Humana Challenge.