The suspect was fighting with another man near Pearson Park on July 15, but is then alleged to have assaulted the driver when he tried to intervene.
A Humberside Police spokesman said: "The suspect was involved in an altercation with another man at the junction of Princes Avenue and Queens Road around 4pm.
"A man driving a car stopped to intervene and was allegedly assaulted by the suspect. The motorist was taken to hospital with a serious eye injury."
Anyone with any information or who may know the suspect is asked to call 101, quoting log 437 of 15/07/17.