The man, who is in his 80s, was hit by a black Volkswagen Jetta in Hereford’s Bodenham Road on Friday, August 30.
Officers are searching for information about the incident, which happened near to Elizabeth Court assisted living facility.
The pedestrian was taken to hospital with serious injuries.
He remains in hospital in a serious but stable condition.
No arrests have been made and enquiries are still ongoing.
Any potential witnesses, or anyone who may have seen the vehicle in the moments before the collision, are asked to contact PC Jamie Carr.
Please call 07773 053434 or email jamie.carr@westmercia.police.uk if you think you can help with enquiries.