Hodgson has made peace with Gary Lineker, who was critical of the performance in Kiev.
The England boss believes his reaction to Lineker's comments was exaggerated due to the adrenaline rush that automatically follows a high intensity game.
However, he does concede complaints about England withdrawing as they looked to secure a point rather than claim a victory that would have taken them to the brink of automatic qualification for next summer's World Cup were valid.
"Reflection changes things and makes us look at other aspects of a performance," Hodgson told talkSPORT.
"I am looking at the criticism that we didn't attack as well as we could. I am accepting that as fair criticism."
And Hodgson has been happy to speak with Lineker to resolve their differences.
"I have no problem with Gary at all," said Hodgson.
"I have known him a long time and I understand him as well.
"Gary is saying we defended well and the discipline is good."
Hodgson understands that whilst a point could turn out to be crucial given it keeps England at the top of Group H, three could have meant so much more.
Yet, as he pointed out, his options were so limited it steered England away from taking risks.
"We were so much in control I might have been tempted to throw more attackers on," he said.
"On another day we might have thought let's have a go.
"But we had already lost three quite important players in Wayne Rooney, Daniel Sturridge and Danny Welbeck, in addition to Glen Johnson, Phil Jones and Alex Oxlade-Chamberlain.
"Jermain Defoe had not played a lot of football either because he had a groin injury.
"Nevertheless we are eight unbeaten and whilst we haven't won the away games it does mean the last two games at home will be very difficult for our opponents."
Fair play to Hodgson for admitting he was wrong, but it's pretty worrying that only after re-watching the game and spending a few days thinking about it was he able to properly see how his team played. If he's unable to analyse matches as they're happening, how on earth can he be a top-level manager?- fictionalemu