Chow did not return phone calls seeking comment Tuesday.
The Salt Lake Tribune has learned the school also reached out to Utah defensive coordinator Kalani Sitake, but he has not applied.
A week ago Greg McMackin reached a retirement agreement with Hawaii after four seasons in which he went 29-25. He will receive a buyout of $600,000, about half of the $1.1 million the school owed him on a five-year contract that was supposed to expire Jan. 15, 2013.
Chow signed a two-year deal with the Utes in January that pays him $275,000 in base salary.
However, the possibility to be a head coach at Hawaii likely is more about opportunity than money for the 65-year-old Chow, who boasts 38 years of coaching experience.
Chow is originally from Honolulu and began his coaching career at Waialua High School before joining BYU's staff as a graduate assistant.
This isn't the first time Chow and Hawaii have been linked. He was one of the choices recommended when June Jones left Hawaii to coach at SMU.
Hawaii instead hired McMackin, the defensive coordinator at the time. He went 6-7 in 2011, a poor showing that sealed his fate after Hawaii was favored to win the WAC.
Earlier this week Chow said his first year with the Utes was one of his most challenging due to the number of injuries the team faced, including the season-ending injury to quarterback Jordan Wynn.
Utah ranked last in the Pac-12 in passing offense (171.58) and total offense (308.7) and ninth in scoring (24.58) as the Utes were forced to revamp their offense midyear.
"It was awfully challenging," Chow said. "Every week you sit there and think, 'What am I going to do?'"