As Soriano moved into position to catch the pop-up, he misjudged it, dropped it and allowed Pierzynski to reach third base and Gordon Beckham to score.
Stone, the former Cubs broadcaster and Current White Sox color analyst, took the opportunity to point out, "That's what you get when you put a designated hitter in left field."
Stone also criticized Soriano for his lack of enthusiasm in retrieving the ball after he dropped it.
The play marked Soriano's 11th error of the season in left field.
Stone refused a contract extension with the Cubs in 2004 amid controversy fueled by his sharp criticism of the team.