Sunderland boss Regis Le Bris criticised referee Jarred Gillett in his post-match interview, feeling the official should have sent off Tyler Adams for a lunging challenge that caught Granit Xhaka on the ankle.
The Black Cats might also have been awarded an early penalty when Alex Jimenez barged over Enzo Le Fee in the box, but Gillett waved play on with VAR opting not to intervene.
Iraola was equally aggrieved at some of the decisions given against his own side though, particularly the moment in the second half when Junior Kroupi was adjudged to have fouled Robin Roefs as the Sunderland goalkeeper dallied in possession outside his own 18-yard box.
Iraola thought Roefs should have been dismissed for fouling Kroupi – and if that did not happen, play should have been waved on, which would have resulted in Kroupi rolling the ball into an open goal.
“We complained about the Roefs situation,” said the Bournemouth boss. “It is either a red card because Roefs makes a foul on Junior Kroupi or just leave the ball, the play goes on and we score because we have the ball, there is no keeper.
“But he has decided to stop and it's never a foul from Junior Kroupi. One thing or the other, but it's never a foul from Junior Kroupi.”
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Iraola also rejected suggestions that Sunderland should have been awarded an early penalty for Jimenez’s push on Le Fee.
“The first call for a penalty, I think it would have been a soft one because there is no contact low,” he said. “It's just the kind of push. I think it's a soft one [if it is given].”
Iraola did, however, concede that the stop-start nature of the game, with Gillett seemingly unable to exert any kind of authority when either side was lining up to take a corner, negatively affected both teams.
“More than the big decisions, I complained about the rhythm into the game,” he said. “We haven't played continuously, I don't know.
“We were all the time stopping the game, a lot of warnings, a lot of medical attention. It has been really difficult to make the game a little bit, I don't know, entertaining almost.
“They were losing an incredible amount of time every free-kick and if we don't take it quickly then the game becomes so boring and there is no rhythm into the game.
“Just take the decision to take it quickly and just play and put some tempo into the game. I would have been very happy for that.”