Hiding will be difficult. After all, they are headphones with a cable. I agree with Premmenegger: ingenious headphones.
You can't connect the cables and "hide" them in the case, but then the sound will be rather minimalistic - but hey, some people like it quieter🙃🙃🙃

I'm not quite sure I understand the question. The headphones come in an elegant case. It has a fabric compartment where you can store both cables supplied (spiral cable and straight cable). However, the headphones do not work without a cable (no Bluetooth or similar). The sound is excellent (I listen mainly to classical music).