Johnny Manziel -- FIRES PIGSKIN THROUGH CAR WINDOW ... Caught On Video

Here it is ... the raw footage of Johnny Manziel hitting a Nissan Altima IN STRIDE during a car commercial back in June ... and nailing the driver in the face.

TMZ Sports broke the story ... Manziel was instructed to fire a football into the passenger window of a moving Nissan for a car dealership commercial in Cleveland.

Johnny nailed the stunt on the FIRST TAKE ... and plunked the driver right in the kisser.

You can hear the crowd going wild -- but we're told Johnny was calm, cool and collected -- and couldn't have been nicer on set.