Bradford was 23 of 36 for 255 yards and an interception in the loss.
Bradford had missed two games with a high ankle sprain, but was able to practice on a limited basis last Thursday and Friday. Kolb missed practice all week because of a right turf toe injury that occurred in last weekend's 30-27 loss at Baltimore.
Second-year pro John Skelton, 2-2 as a rookie starter late last season, replaced Kolb at quarterback.
Skelton threw for 222 yards and a game-tying touchdown late in the fourth quarter. Skelton did have his struggles in the win, however, as he was sacked for two safeties on consecutive plays in the third quarter.
It was the first time a player yielded two safeties in a quarter since Aaron Rodgers did it against Minnesota on Nov. 9, 2008. The last player to have safeties on consecutive plays was Kordell Stewart of Pittsburgh against Jacksonville on Oct. 3, 1999.
The safeties marked the first time in NFL history that a team had scored a total of four points in a quarter.
Arizona tight end Todd Heap was active after missing three games with a hamstring injury but did not have a reception on Sunday.
Information from The Associated Press was used in this report.