Booked hotel, but never asked for payment information

I just reserved a room at the Hotel Vier Jahreszeiten in Berchtesgaden, Germany. I went through the booking website and provided all of my info, but they never asked for payment information. I didn't initially receive a confirmation, so I emailed the hotel to ask if the booking had been successful or if I needed to try again. After that, I did receive an email confirmation with all of the correct information.

It seems odd that I could reserve this room without providing a credit card, especially since their cancellation policy says they will charge for one night after a certain date. Should I be worried about the validity of this reservation, or is this practice fairly normal in Germany?