The US, Canada and Mexico will co-host the World Cup between 11 June and 19 July.
Iran are scheduled to play two games in Los Angeles, against New Zealand on 15 June and Belgium on 21 June, and then Egypt in Seattle on 26 June.
US secretary of state Marco Rubio said last week that no-one with ties to the IRGC would be admitted to the country.
“We are going to the World Cup, for which we qualified, and our host is Fifa – not Mr Trump or America,” Taj said.
“If they accept hosting us, then they must also accept that they must not insult our military institutions in any way.
“Because if they do, then naturally it could create the same kind of situation that happened in Canada, where there was a possibility we might have to return.
“So there must be this kind of guarantee so that we can go with peace of mind.”
The US and Israel launched air strikes on Iran in February.
Iran was the only Fifa federation among the 211 member countries that did not have representation at the Fifa congress in Vancouver.
Fifa president Gianni Infantino said Iran will be going to the US and playing as scheduled – despite Iran’s request in March for its matches to be moved to Mexico.