I decided the easiest place for me to hang my headphones would be from the front of my Hyte Y40 case.
The hanger works on the front or side by slotting into the grill on the top of the case.
I have no way of testing the theory, but the same model might work on the Y60 as well?
EDIT: The user @Eddy_911669 has tested that it works with a Y60 case.
I printed the hanger shown in eSun PLA with 3 perimeters and 10% infill.
The author marked this model as their own original creation.