For those of you who have been waiting for Android 5.0.1 Lollipop stock firmwares for the GT-i9500 international Galaxy S4, there are several available now, listed on our Galaxy S4 stock firmware page at bottom.
If your country isn’t listed, you can also cross-country flash (install other country firmware) so long as you have same GT-i9500 model number. Also, rooting has not changed, you can use our original root guide to root your S4 after updating.
For installation, refer to our unroot guide here. This will update your recovery, kernel, and ROM back to stock firmware. If coming from stock firmware, you don’t need to do any factory reset but it will upgrade you to the latest Lollipop firmware. If you have TWRP or CWM recovery installed, we highly recommend you to make a backup ROM first just in case something goes wrong.
Also, if you cannot take OTA because you are rooted, you can use these stock firmwares to update your phone to latest Android 5.0.1 TouchWiz Lollipop firmware.