"This is an important international competition and we look forward to competing against the world's best wrestling teams."
While Iran has not backed off its claim to ban US visitors in retaliation to Trump's move, USA Wrestling told Reuters their contacts within the Iranian wrestling federation have said a committee has been formed in the foreign ministry to look at the World Cup.
"We're hopeful wrestling again will transcend politics," said Bender. "It's an important competition for us and seven other nations."
USA Wrestling said it sent the first American sports team to compete in Iran in nearly 20 years in 1998, when freestyle wrestlers competed in the Takhti Cup in Tehran.
American wrestlers have competed in Iran for the Takhti Cup nine times, while USA Wrestling said it has hosted teams from Iran in the United States 16 times since the 1990s.
By executive order on Friday, Trump banned immigration from seven Muslim-majority countries - Iran, Iraq, Syria, Libya, Somalia, Sudan and Yemen - and temporarily halted the entry of refugees.
The ban has angered many in the world of sports and even left some athletes uncertain of their ability to travel outside of the United States.