It was actually in the third inning, with one out. The White Sox replaced Ventura with Craig Grebeck, who got picked off first.
Ryan didn't allow another hit the rest of the way, only allowing a walk to Joey Cora.
He was pulled to start the 8th after only 85 pitches -- the Rangers scored five in the 6th to give him a 5-2 lead. They brought in Craig Lefferts (who ended up with an ERA higher than 6 that year) as the setup guy but he gave up a hit with two outs (to Cora), and the White Sox brought in Bo Jackson as a pinch-hitter. Texas countered by bringing in their closer (Tom Henke), who struck out Bo and ended up with a four-out save.
That stretch of the game after the Ventura brawl was probably the best he pitched in his last season.
Funny bit: Frank Thomas didn't play in this game (despite being in the middle of his first MVP season, he was 0-12 with 11Ks against Ryan at the time, which ended up being his career line against him).
https://www.baseball-reference.com/boxes/TEX/TEX199308040.shtml