I'm not quite sure what you're asking. The AM Broadcast (AMBC) station is using a vertically-polarized antenna and the receiver is using a ferrite rod sitting horizontally in the radio case and you're wondering how a horizontally- polarized receiving antenna can receive a vertically-polarized signal...is what I think the question is.
The answer is that, for a local AMBC station, the RF field is so strong that just about ANYTHING would work as an antenna. True, there's about a 20dB "loss" because of cross-polarization, but your radio won't even notice that until you're several hundred miles away from the transmitting antenna.
What happens if you turn the receiving radio on its side so that the ferrite rod is aimed vertically? I'm guessing you won't notice much change.
From my home town (Las Vegas NV) I used to listen to KOMO radio (1000 KHz in Seattle) with a little shirt pocket radio. At that distance - ~1200 miles - I had to be careful to keep the radio sitting in the horizontal plane correctly. If the ferrite rod was vertical, it didn't matter.