The man, in his 50s, suffered leg injuries in the crash, which happened just before 10pm on Sunday outside the Foxhunt pub on Hagley Road.
A 37-year-old man has been arrested today on suspicion of causing serious injury by dangerous driving and remains in custody.
A spokeswoman for West Midlands Police said: "We are investigating after a pedestrian was seriously injured in a suspected non-stop collision in Hagley Road, Halesowen, yesterday evening.
"The man in his 50s suffered leg injuries when he was struck by a car at just before 10pm. He was taken to hospital and his injuries are not believed to be life-threatening.
"A 37-year-old man was today arrested on suspicion of causing serious injury by dangerous driving.
"He remains in police custody as enquiries continue.
"Anyone with dashcam footage or any information who we have not yet spoken to can contact us via live chat at west-midlands.police.uk, call 101, quoting log 3644 of 2 May."
Alternatively, contact Crimestoppers anonymously on 0800 555111 or at crimestoppers-uk.org