Woollgar, a Carterton-based film editor, wants to "establish some sort of human connection" with the driver in the hope that seeing his injuries could have a positive effect on his future behaviour.
"If I can say I've forgiven you, but this is the consequence of your actions . . . perhaps that could help him."
Woollgar, 55, said he had been cycling home from the supermarket on Friday evening when he saw a car behind him.
"It started tooting and I turned and said, 'Hey, what's up?'.
The next thing he knew, the vehicle was driving alongside him "really close".
"At that point I got a bit angry, and I went up onto the pavement and swore."
He said the vehicle followed him along Pembroke St and onto Garrison St and then onto Victoria St.
"I just started cycling as fast as I could," said Woollgar, who estimated he was going 40kmh.
He said soon after he was struck by the vehicle while cycling on the footpath.
"I didn't know what was going on, but I tried to get my phone out of my pocket.
"Then I saw my leg and it was in a crazy unnatural angle, so I tried to straighten it and it just flopped like jelly, there was just no connection with my body."
Woollgar said the driver then got out of the car and approached, asking him if he was alright.
"And I went, 'No dude, you've broken my leg'."
He said the man got back in his vehicle and drove off, as Mr Woollgar took photos of the car with his phone.
Woollgar is adamant the incident, which was witnessed by others, was unprovoked.
He said he had never seen the man before.
The police and ambulance turned up soon after the crash at about 7.15pm.
A keen cyclist and gym-goer, Woollgar said he can now look forward to 15-weeks on crutches.
The incident seemed surreal, he said from his hospital bed today.
Woollgar was looking forward to being discharged from hospital, hopefully tomorrow.
He wished to thank the emergency services, witnesses, and hospital staff, all of whom had shown him great support.
Senior Sergeant Mike Sutton said a 22-year-old Carterton man had been arrested, with charges expected later this week.