Despite being out of possession for much of the stalemate, the Iranians squandered a handful of good chances to earn the victory.
While admitting that his team can get better in front of goal, Nekounam believes that a draw was a good result for Iran.
"We could have snatched a win in the last 20 minutes, but we lacked the finishing touch. I think that's the area we need to improve in," the midfielder told FIFA.com.
"When you consider that a lot of our players were making their World Cup debuts, it's been a very good day for us."
Iran continue their campaign on Saturday when they play Argentina in Belo Horizonte.