The Hammers, who could have gone fifth with victory over Tony Pulis' side, fell behind to a slick finish from Jon Walters and had to produce a spirited second-half display to claim a point.
Nolan told Sky Sports afterwards: "We were unlucky in the end. I was guilty of two missed opportunities but it was a great result after going 1-0 down.
"These lads make it tough for you and I thought they played well tonight and I thought we did too. It was a good game. We're a bit gutted that we could have gone fifth, but it was a good point in the end."
The equaliser came early in the second period when defender Joey O'Brien popped up in the box to turn a Gary O'Neil cross into the roof of the net with the aplomb of a striker.
"Joey had a tough two years out with a bad knee injury but he's come back fantastic," added Nolan. "He keeps getting stronger and stronger.
"I'm absolutely delighted for him to get his first goal in the Premier League. He's a good friend of mine. You could see we were buzzing - there's great camaraderie.
"We were a bit gutted not to go on and win the game but as I said, these boys are a tough nut to crack and it was a good point in the end."