Veneziano cleared waivers and elected free agency Thursday, Jeff Jones of the Belleville News-Democrat reports.
Veneziano appeared in 26 big-league games this season, spanning stints with Miami and St. Louis, and he logged a 4.68 ERA, a 1.56 WHIP and 25:11 K:BB across 25 innings. The 28-year-old will hit the open market after being designated for assignment by the Cardinals earlier this week.