Ziznewski played the past two seasons at LIU-Brooklyn after transferring from Rockland County College. In two seasons with the Blackbirds, he put up a slash line of .363/.430/.567 and was 35-for-39 in stolen bases.
The Draft concludes on Saturday, with exclusive coverage of Rounds 11-40 beginning on MLB.com at 12 p.m. CT.
White Sox assistant director of scouting Nick Hostetler said his scouts tracking Ziznewski were high on the shortstop's swing.
"He did a really good job this year of putting the ball in play, not striking out much and that for us was an interesting, intriguing numbers for us to take a shot on him there in that spot," Hostetler said.
Joe Popely is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.