Former NFL head coach Jim Caldwell also discussed the job with Houston, and he's among several other candidates who have drawn interest from the Texans.
McCown finished the 2020 season on the Texans' roster after being signed from the Philadelphia Eagles' practice squad. The 41-year-old didn't appear in a game this campaign, and he last saw action in the 2020 playoffs.
He hasn't logged any coaching experience in the NFL or NCAA.
If the Texans look elsewhere, they could focus on Indianapolis Colts defensive coordinator Matt Eberflus, who has emerged as one of the early favorites for the gig, a source told Ben Volin of The Boston Globe. The 50-year-old is coming off his third season with the Colts after leading a top-10 defense in 2020.
Kansas City Chiefs offensive coordinator Eric Bieniemy and Buffalo Bills defensive coordinator Leslie Frazier have also garnered heavy consideration from the Texans, according to Aaron Wilson of the Houston Chronicle.
Carolina Panthers offensive coordinator Joe Brady, Baltimore Ravens assistant head coach David Culley, and former NFL head coach Marvin Lewis are among the other coaches who have been interviewed.
The Texans are coming off a 4-12 season. They went 4-8 with interim head coach Romeo Crennel after starting the season with four straight losses under Bill O'Brien.