Is quitting "cold-turkey" a valid option to stop my addiction to cigarettes?

Yes and no. It is difficult for some - some are able to stop without any issues some develop anxiety. There are electronic cigarettes that can dose nicotine which can be tapered that might ease the quitting process.
Yes. It's very valid, and sometimes very difficult. It's still over all the most successful method; more people have successfully quit cold-turkey than by any other method. It's also the most frequently failed method, with most people who have quit reporting that it took many attempts. You have to make a decision and stick to it, which is hard, but doable. I know this from personal experience.