Palmer connected on scoring strikes with Denarius Moore and Darrius Heyward-Bey, going 14-for-28 with 209 yards and an interception for the Raiders (3-4).
Darren McFadden led Oakland's ground game, racking up 114 yards on 29 carries while also hauling in four passes for 23 yards.
Matt Cassel -- benched before the game due to ineffectiveness following an Oct. 8 concussion -- took over behind center for the Chiefs (1-6) when Brady Quinn left the game with a head injury.
He completed 20-for-30 with 218 yards with a touchdown and an interception as Kansas City dropped its fourth straight.
Swim Week Miami Beach 2014 [PHOTOS]