I had three cables stuck in the ground on the Victoria Settlement mission. They were caused by de-spooling the cables with the drum on its side on the ground.
One cable I successfully re-spooled because I hadnt moved the drum much, the first two cables I attempted to re-spool and failed, I tried laying the cable over the drum and they would not respool.
If you grab the end of the cable you can slowly drag the end but it remains stuck in the ground.
I attempted to pop it out of the ground by connecting another cable end to the twitching stuck end, but despite showing the blue hologram of a valid connection it would not connect.
Edit: you must move the middle of the cable up to the drum to respool, if you move the drum to the cable you do not get a respool option.