"I made the decision to withdraw my name from the Arizona Cardinals head coaching search as they continue through their interview process," he said in a statement. "The timing for my family was not appropriate for me to pursue this potential opportunity, but I am very excited with the decision to remain with the Pittsburgh Steelers."
Munchak has been Pittsburgh's offensive line coach since 2014 after a three-year stint as the Tennessee Titans' head coach. He was one of several candidates who interviewed for the vacancy in Arizona, along with New England Patriots linebackers coach Brian Flores and Philadelphia Eagles quarterbacks coach John DeFilippo.
Arizona is seeking a replacement for Bruce Arians, who retired earlier this month after five seasons with the Cardinals.
Munchak, 57, went 22-26 as the Titans' coach. He was a nine-time Pro Bowler during his 12-year Hall of Fame playing career, spent entirely with the Titans/Oilers franchise.