"Alabama's probably got one or two championships they claim that weren't necessarily recognized by everybody," Frost told KETV's Andy Kendeigh in an interview that will air Sunday in its entirety.
Frost, who's now the head coach at Nebraska, led UCF to a 13-0 record last year, including a Peach Bowl victory over Auburn to cap the perfect season. - Despite not being invited to the College Football Playoff, the Knights immediately declared themselves national champions and even awarded their players "2017 National Championship" rings.
Saban, who won the official national title last year with the Crimson Tide, chimed in on the hoopla Tuesday, saying "self-proclaimed is not the same as actually earning it."
"And there's probably a significant number of people who don't respect people who make self-proclaimed sort of accolades for themselves," he added.
Frost previously admitted he has a hard time referring to the Knights as 2017 national champions even though UCF was the only FBS school to finish last season without a loss.