John Crowley carried out the brutal assault on Peter Cox in November when he refused to get out of the way of his classic green Mercedes 350.
He had wanted to park in the last spot but Mr Cox was saving it for his son, who owned a legal high store nearby in Weston-super-Mare, Somerset.
Crowley, 44, edged his car slowly towards the victim, who refused to move and was knocked to the ground.
Mr Cox’s son Craig saw what was happening and smashed the windscreen of Crowley’s car before attacking and sinking his teeth into his nose.
As they brawled the car continued to move at slow speed with Crowley still behind the wheel, with Mr Cox run over up to three times as a result.
He suffered ‘serious and life-changing injuries’.
Crowley admitted dangerous driving and causing serious injury by dangerous driving.
Crowley, who was also banned from driving for three years, lost part of his nose and the injury required an operation to take the skin from his neck to cover the wound.
Charges against Craig Cox were not pursued because he was deemed to be acting in defence of his father.