The striker also noted that the team had previously endured five hours of travel and security checkpoints when traveling from Mexico to California on Sunday.
"It was an incredible atmosphere in the game, all 90 minutes," said Taremi. "It was like at home for us."
On the pitch, New Zealand took the lead twice through goals from Elijah Just, but Iran equalized both times with strikes from Ramin Rezaeian and a 64th-minute header by Mohammad Mohebi.
"The Iranians who live in Los Angeles, they make a great atmosphere," said Mohebi.
"That celebration, it comes in the mind, and I did like this — motioning to his arm — for all the fans.
Just a celebration."
Following the opening round of matches, Iran, New Zealand, Belgium, and Egypt all sit level with one point each in the group standings.
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Iran will face Belgium in their second group-stage match in Inglewood on Sunday, before traveling to Seattle to play Egypt the following week.
