John Roach's home in Stannage Walk was set on fire after a burning wheelie bin was pushed up against his front door.
The 67-year-old was treated in hospital following the blaze on Friday but died on Wednesday after being discharged. A post-mortem examination is due to take place, Humberside Police said.
A 13-year-old boy has been arrested on suspicion of arson.
A man has died five days after being rescued from his flat when it was set alight in an apparent arson attack.