The Chiefs and Cardinals play live on Saturday night at 8 p.m. (Arrowhead Time). A few hours later on NFL Network at 2 a.m. (Arrowhead Time), the game will be replayed.
So set your DVRs for the game: 2 a.m. (Arrowhead Time) / 3 a.m. (ET) on NFL Network. Here is the link to NFL Network's schedule in case anything changes.
If you are willing to pay some money for access to Chiefs games, check out NFL Game Pass. The real football nerds will appreciate the all-22 on those replays.