Palace won 2-0 after Hodgson made several changes at the break, including pushing Wilfried Zaha further forward.
He said, “I was very pleased that the players determination shone through. We pulled ourselves together. I thought pushing Wilf up front, and bringing McArthur in made a difference to our play.
“We created some really, really good goal chances. At one stage, I was worried it was going to be one of those games, when I'd be sitting here and you would be telling me about the incredible misses you thought we'd been guilty of, and it would have cost us points!
“Luckily, I can laugh the misses off, as we got two goals to win the game. I'm hoping that if we create have as many chances against Tottenham Hotspur on Wednesday night, we won't miss them."
Pressed again on his side spurning of multiple chances, Hodgson joked: “You sound like my wife – why don't you get them to shoot?! I've done the odd shooting practice in my last 44 years. But I can't kick it in the back of the net for them, I never could either!"