Police are trying to identify him after a disorder on Vicarage Road, Kings Heath.
The disorder took place around 6.30am on Monday 9 April, which resulted in a man being stabbed and a woman sustaining a head injury, neither are believed to be life-threatening.
The man officers are looking for then went on to try and gain access to a number of stores armed with knives, but left the scene before police arrived.
Five people arrested at the scene – four men and a woman – have been released without charge.
Anyone with any information is asked to email firstname.lastname@example.org or call Crimestoppers anonymously on 0800 555 111 quoting 20BW/78339A/18.