You can gently wet rattail and the kinks will come out of it (by gently, I mean just dip it in water - not scrub it or wring it out). It can also be steamed, but wetting it is faster.
Note: the real rattail cord is a rayon/cotton blend. The other type of satin cord is nylon. It can be a tad bit more stubborn for getting kinks out - you may need to soak it longer.
And if anyone else ever needs the info, rubber cord can be dropped into boiling water to get kinks out.