Another field goal from Phil Dawson put the Cardinals within 1 with 4:44 left in the third quarter.
After the Titans appeared to gain a first down on a fourth-down run on the previous drive, Cardinals head coach Bruce Arians challenged the call and Arizona was awarded the ball at the Tennessee 35-yard line.
Cardinals running back Kerwynn Williams broke off an 18-yard run and set up a 23-yard kick for Phil Dawson, his second.
The Titans still led, 7-6, with 4:44 left in the third.
Dawson puts Cards on the board
Cardinals kicker Phil Dawson gave his team their first points of the day with 9:36 remaining in the third quarter.