Removed from the game after the hit, the No. 6 White Sox prospect, according to MLB.com, improved to 10-7 on the season with a 4.09 ERA. He also struck out five and walked three.
"It was an incredible feeling," Snodgress said to MiLB.com. "I wish that I could have finished it, but I guess that's how it goes."
He'd previously thrown six innings of a combined no-hitter for Rookie-level Casper on Aug. 18, 2011, three months after he was drafted out of Stanford University in the fifth round.
In three starts this month, the 23-year-old lefty has allowed one run over 21 1/3 innings.
Quinn Roberts is a reporter for MLB.com This story was not subject to the approval of Major League Baseball or its clubs.