...I, also, have smashed/rolled the stripped stranded/braided copper cable/wire flat, dripped some Kester liquid flux (pink stuff) on the flattened cable and it works just dandy in a pinch for many of my de-solder needs. One nice thing about this technique?...the unstripped portion of the cable/wire (insulation) will help isolate your fingers from the heat.
However, I still prefer and keep handy the commercial wick. What a sanity/time-saver!
One final suggestion...When using the wick to remove a large blob of solder from a spot, start by placing the fresh wick over the blob about a half-inch or so from the wick end. Then, as the wicking begins and you see the solder permeating the braid, you can pull the wick to provide additional wicking area. If you start the wicking at the very end, it's rather hard to push the wick (). Your only choice, then, is to remove the heat, reposition the wick and then re-heat, etc..
And when you're done, be sure to trim off the soldered wick! No use in saving it (), and you'll be happier the next time you need to use it in a pinch to have a fresh end ready to go!
FWIW, always...
KD