With two more men on base after Rod Carew reached on an error, Tony Oliva hit a two-run double and Bradley was lifted from the game.

Bradley was traded along with Jay Johnstone and Tom Egan from the Angels to the Chicago White Sox for Ken Berry, Syd O'Brien and Billy Wynne on November 30, 1970.

"[2] One of his most impressive starts came early in the season, when Bradley threw a four-hit shutout against the Oakland A's on April 17, 1971, at Comiskey Park, striking out 10, including Reggie Jackson three times.

After another 15-win season a year later, he was traded by the White Sox to the San Francisco Giants, a team that was in need of serious pitching help, for Ken Henderson and Steve Stone on November 29, 1972.

He remained in the Midwest League for the 2006 season, joining the San Diego Padres' affiliate, the Fort Wayne Wizards, as their pitching coach.