Michael Warham, 16, from Liverpool, was found in Wayford Close in Meole Brace on 1 August.
He died in hospital at about 06:30 BST on 4 August.
An 18-year-old man, also from Liverpool, was arrested on suspicion of assisting an offender and later released on bail, West Mercia Police said.
Three other people - a 19-year-old man and 17-year-old boy, both from Liverpool, and a 19-year-old woman from Shrewsbury - have been arrested and bailed in connection with the incident.
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