I recently switched from wireless to wired headphones (Samson SR-850, probably the best for the very reasonable price) and my chair's wheels instantly started eating its cable. Right now I'm using a small plastic hook that came with a face mask to keep it off the floor, but I'd like to hear other solutions.
I wish that worked for me. The armrest of my chair catches onto every bit of cable it finds slightly hanging off the table. Granted, that's only an issue because the armrest is T-shaped rather than O-shaped.
I have a hook on the cabinet next to my desk that I hang my headphones on when not in use, but that the cable is also attached to. This keeps it out of the way. So the cable is basically hanging between the cabinet and my head. The cable also separates in the middle, so it tears away if I accidentally get up and walk away with them on.
There's very cheap cable holders for VR applications that attach to your wall or ceiling (non-destructively) and hold cables above you. I used those above my desk to hold the headphone cables, so the cable runs up the wall behind my desk, and then over my head. Keeps it off the floor and away from everything else.
I used a coiled cable and put my audio interface to my side higher up on a shelf. That way when I am seated the headphone cable barely touched the ground.
I was going to buy a hook to put under my desk like others here but I kept putting it off until I got extremely annoyed one day, at which point I grabbed some of the velcro cable ties I have and just “zip” tied the extra cable to my mic boom, leaving enough slack to let me move around without tugging and for me to leave the headphones by my keyboard if the boom is pushed back behind my monitors.
I made my own anchor points with some mason line, a broken DVD case and double sided tape been going on for 4 years now. Think there's adhesive cable clips too that comes with several for cheap so you don't have to go through my dumb idea just prepare the area by cleaning it with alcohol first
I got this thing called the J22 that I can plug my wired headphones in and put it my pocket or clip to my shirt that then connects via Bluetooth. No more issues with getting wires caught to stuff and no lag.
I have a pair of Philips Fidelio X2HR, they are connected to my Röde VideoMic Go II so I use my mic as a soundcard when gaming with friends.
My mic is mounted on a microphone arm, and the cables are routed along the arm, unfortunately my X2HR has a VERY long cable, but it commes with a wire clamp thing so I have simply collected the exessive cable into a loop with the clamp and let it hang down from the arm but never low enough for me to roll over the cable with my chair.
If you don't have a clamp, I would recommend some steel wire to make a sort of clamp to organize the cable.
The cable on the Grado SR60X and her siblings are comically long. They are pretty thick too, so I decided to braid them up, reducing their length from 2 down to about 0.6 metres. You can look up some easy guides on YouTube for this.
I switched from wired to wireless because my chair kept eating the cable.
But maybe try getting a longer cable or extension cable and plugging it into the back of the computer and running it up behind the desk and across the top.
My pc is on top of the desk and the ports are on top. The cable just hangs down and it is sufficiently long to allow mobility even a bit further away. It is also short enough that it cannot touch the floor.