I would like to know, how to delete the entries in the
Run Command prompt/window in Windows 7, for a normal user i.e. that does not have administrative privileges.
Source: Clear the Run history on the Start menu at Microsoft.com.
The entries are stored in Regedit
Open up regedit.exe through the start menu run box, and then navigate down to the following key:
You’ll see all your recent commands on the right, and you can delete any of the keys that contain your commands. You’ll have to logoff and then back on, but the list should be clean.
But since a standard user cannot modify the registry, the best option would be not to save the information in the first place, as explained in the previous answer by @CharlieRB.