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Root Your Sony Xperia Z1 Running Jelly Bean 4.2.2 Build number 14.1.G.1.534. This works on Locked Bootloader as well as Unlocked Bootloader. All the images used in the tutorial are not mine , I have used images by krabappel2548 , special thanks to him and the Chinese who have made the software vRoot , which we will using to root the phone.

This tutorial is for Xperia Z1 running Jelly Bean 4.2 Build number 14.1.G.1.534.

Disclaimer : I am not responsible if you brick your phone or if u make any other damage to your phone, you have been warned.
  
So Lets Start :
1. First make sure you are running Jelly Bean 4.2.2 Build 14.1.G.1.534. Go to Settings > About to verify this.

2. Enable USB Debugging , Go to Settings > About phone and tap 7 times on Build number to enable Developer options, now Go to Settings > Developer options to enable Enable USB debugging mode.

3. Enable Unknown Sources. Go to Settings > Security and check Unknown sources.

4. Download vRoot from here - http://www.mgyun.com/vroot
Yeah it is in Chinese, so bear with it :P , download it and install this software just click next next like u install any other software :P



5. Open the vRoot (ROOT´óʦ , this will be the name of the program) and Connect your data cable to your phone and PC , you will see a green Root icon in vRoot, click on that to start the rooting process. See the below screenshot. 


6. When it is finished your phone will restart automatically and vRoot will show something like the below screenshot.


7. Congratulations your phone is now rooted . To verify see the Kinguser app , see the note below to replace it with SuperSU. 

Note :- If you want to change the Kinguser (Chinese Superuser app) to SuperSU , Download this File - LINK. Extract it somewhere , and run runme_win.bat. Kinguser will change to SuperSU.

OR

If you want to change the Kinguser (Chinese Superuser app) to SuperSU , just download SuperSU from Playstore , open it , it will ask for Root Permissions , grant it , then follow the screen instructions to update the binary. Now open SuperSU , go to Settings and click on "Install SuperSU into /system" . Your phone will reboot and Kinguser will automatically get uninstalled :)


Note : This method works on both locked and unlocked bootloader devices!!!  


If you have any problems feel free to comment.  

Source - XDA