Briatore was barracked by sections of the home crowd as Rangers slumped to their fourth defeat in six matches.
Several hundred supporters gathered outside after the final whistle to demonstrate against the Italian, who was at the match along with co-owner Bernie Ecclestone.
Garry Thompson's goal gave Scunthorpe their first ever victory at Loftus Road, and fuelled the growing anger among home fans.
A number of them attended the game wearing clown-style wigs and red noses in protest at the events at the club, which has been plagued by problems on and off the pitch since the Briatore-led takeover of 2007.
Harford said: "I have every respect for the fans. They pay their money and have the right to voice their opinions.
"People have an opinion that the club is a laughing stock. They might have that perception of it, but I've got an inside view and when you work at the club you see it's run in the right and proper manner."
Source: PA
Source: PA