Searcher,
when I have done it I do unravel the braid. It's easy, just use a sharp tip (like a skewer), then wind it together. As Twin said, it's the shield so no harm with the copper.
Soldering it 'as-is' will cause some uneccesary heat to the wires below and is not a good idea.
Just unbraid,twist (I usually clamp with needle pliers and twist whilst pulling abit to get nice even flow), tin/solder end and attach to pot. Nice and neat :)