The Norwegian centre-back was given his marching orders after 31 minutes for a two-footed lunge of Black Cats’ midfielder Lee Cattermole.
It proved to be decisive, as the North East club went on to take the lead and eventually the three points.
Jol vented his frustrations to SkySports after the game:
“I think he was probably the only one in the stadium who really thought it was a red card,” he said.
“It would have been nice if most of the referees had played football themselves, it would be nice if sometimes they could make decisions in the spirit of the game.
“I can’t remember having a red card at this club. Hangeland is a nice boy and told me it was not intentional, he slipped.
“I won’t say that it is a common thing for him because I haven’t seen him do this tackle.”
Sunderland took the lead through Steven Fletcher after 50 minutes.
Mladen Petric equalised soon after, but defender Carlos Cuellar put the visitors back in front with a fine header.
Stephane Sessegnon completed the scoring with an excellent 25-yeard effort.