"Going to bars -- treating women like that; oh my God," Bradshaw said. "I pray they don't cut [his NFL suspension] to four games. I hope they leave it at six. There is no excuse for that. The egos get out of hand."
The 28-year-old Roethlisbgerger was suspended in April for six games for violating the NFL's personal conduct policy a week after prosecutors decided not charge him in a case involving a 20-year-old college student who accused him of sexually assaulting her in a Georgia nightclub in March.
Roethlisberger is scheduled to meet with Goodell on Friday to seek a reduction in the suspension.
Sources told ESPN's Sal Paolantonio that Roethlisberger's representatives plan to ask Goodell to lessen the ban to three games and will bring along team president Arthur J. Rooney II to the New York meeting to support the quarterback's case.
Bradshaw, who won four Super Bowls as the Steelers' starting quarterback in the 1970s, was also critical of Roethlisberger in April, when the allegations came to light.
"He has got to realize who he is," Bradshaw said at the time at his golf tournament in Louisiana. "He is an elite athlete in the National Football League. He's got an image problem right now. Best thing to do is never put yourself in that position again."
Roethlisberger played two series in the Steelers' final preseason game, completing 4 of 6 passes for 39 yards against the Carolina Panthers in Pittsburgh.
Byron Leftwich, expected to be the Steelers' starting quarterback while Roethlisberger is suspended, hurt his left knee during the first half Thursday.
Leftwich completed an 18-yard pass to rookie Emmanuel Sanders before being knocked off his feet as running back Mewelde Moore attempted to block safety Marcus Hudson. The play occurred with 10:25 left in the second quarter Thursday night.
Leftwich was examined by team doctors on a stretcher behind the Steelers' bench, then limped into a nearby tunnel that leads to the locker room. Team officials said he would not return to the game.
Information from ESPN's Sal Paolantonio and The Associated Press contributed to this report.