You can root Droid RAZR HD using all-in-one tool, known as Droid RAZR HD Utility which is being released by XDA Recognized Developer mattlgroff. Rooting will void warranty of your device but will enable you to install apps which require root access.
The guide mentioned below is only for Motorola Droid RAZR HD Verizon and cannot be tried on any other device.
We cannot be held liable of any damage done to your device while following the below mentioned procedure.
Root Motorola Droid RAZR HD using DROID RAZR HD Utility
Enable “USB debugging” on your device by going to Settings >> Developer options >> Enable USB debugging.
Download Droid RAZR HD Utility from here and extract the file to get folder “DROID_RAZR_HD_Utility”.
Open DROID_RAZR_HD_Utility folder and install the drivers.
Connect device to your computer and run “DROID_RAZR_HD_Utility” file and go to the Main Menu by pressing any key.
To root device enter 2, to install the Voodoo Rootkeeper app enter option no. 3 and to restore device to ICS official software enter 1 by entering device into Fastboot mode.
You can easily Root Motorola Droid RAZR HD using DROID RAZR HD Utility.