But Staffordshire Police have revealed the man died in hospital just before 2am on Sunday morning.
A spokesman said: "A 30-year-old man was pronounced dead at 1.55am this morning at University Hospital North Staffordshire.
"The circumstances are being fully investigated and a 25-year-old man remains in custody and is helping police with their inquiries."
The victim was found collapsed in the concourse area of the south stand just after the half-time interval, where a group of Blackburn supporters were gathered.
It is understood the victim was hit on the head by a bin that was thrown into the air by a fellow supporter.
Chief Inspector Adrian Roberts, match commander at the game which saw Stoke beat Blackburn 3-0, said there were just over 1,300 Blackburn fans at the game and no Stoke fans were involved.
West Midlands Ambulance Service said they were called to the stadium just before 4.20pm.
A statement on the Blackburn Rovers website said the man was among a 1,300-strong Rovers following in the South Stand.
Stoke City said police were investigating the incident and the club would make no further comment.