As root, you have full access to your phone's System partition, hence you'll be able to completely uninstall Chrome. Here, I'll describe two procedures for doing so.
Via a Terminal Emulator
By using an app known as a Terminal Emulator, you can manually remove Chrome and any leftovers lying in the Data partition. Firstly, you'll want to issue:
su
to gain root privileges. Next, execute:
mount /system
mount -o remount,rw /system
to remount the System partition as readable and writeable. Then, issue:
temp="$(pm path com.android.chrome)"
temp="$(temp#p*:}"
in order to retrieve the path of the Chrome app, and store it into a variable called temp
. Finally, do:
rm -rf $temp
rm -rf /data/data/com.android.chrome
in which the first line will remove the actual app, and the second will clean up its data. The full script follows:
su
mount /system
mount -o remount,rw /system
temp="$(pm path com.android.chrome)"
temp="${temp#p*:}"
rm -rf $temp
rm -rf /data/data/com.android.chrome
Via Titanium Backup
If you don't like to type too much, your alternative is to download an app called Titanium Backup. Even if its main purpose is to... backup, it is also capable of uninstalling system apps, providing that you grant it root permissions when asked.
Firstly, launch it and grant it the abovementioned privileges. Next, tap the central tab (Backup/Restore), and then find the app you wish to remove. Once you find it, tap its tile and select Uninstall.
That's it. Remember that it's generally recommended to wipe both the Cache partition and the Dalvik Cache after uninstalling a system app. Otherwise, you may incur into really funky side-effects.