The Potters had been the better team in the first half and led at the break thanks to Jonathan Walters.
Nolan said that he was pleased with a point after going a goal down but feels that they should have won the game.
"We were unlucky in the end," BBC Sport quote Nolan as saying. "We created enough chances to win it.
"I was guilty of two missed opportunities, but it's a great result after going 1-0 down to these guys. It was a good game. A great point in the end."
The Hammers travel to White Hart Lane to face Tottenham Hotspur next Sunday.