"Josh is our guy," the first-year head coach told reporters Tuesday, courtesy of Mike Jurecki of AZCardinals.com.
While coaching at Texas Tech last fall, Kingsbury said he would select Murray first overall if he could. As it happens, the Cardinals hold the No. 1 overall pick in the 2019 NFL Draft.
"I was being very complimentary before we played an opponent," Kingsbury added Tuesday. "I understand the soundbite, but like I said, there will be a ton of scenarios that come up before we get to the draft."
The Cardinals traded up last year to draft Rosen 10th overall. The UCLA product struggled as a rookie, throwing 11 touchdowns against 14 interceptions and registering a 66.7 passer rating.
Murray won the Heisman Trophy in his lone season as the starting quarterback at Oklahoma. On Monday, he declared his intention to pursue an NFL career after spending weeks debating between playing pro football and pro baseball. The 21-year-old was drafted ninth overall by the Oakland Athletics in the 2018 MLB Draft.