The gang was responsible for the January 2024 Israel Stockholm embassy attack, and its leader, Rawa Majid, maintains links with Iran's global terror network, according to both Mossad and Washington.
Russia holds around a fifth of Ukraine's territory and its forces are steadily advancing in the eastern Donetsk region.
"We are reviewing all existing sanctions waivers that provide Iran any degree of economic or financial relief," State Department spokesperson Tammy Bruce said.
John Bolton, the lead negotiator for the initiative when it was formed, told Reuters "it would be fully justified" to use the initiative to slow down Iran oil exports.
The sanctions were being done to "stem the flow of revenue the regime uses to fund destabilizing activities."
Gal Haimovich, a 49-year-old Israeli national, was sentenced for using his international freight forwarding company to violate US export control laws.
Tehran is wary of Trump's new sanctions, and it risks seeing its economy be battered - but does not want to be seen to buckle.
The US sanctions, which focus on punishing the court for investigating Israeli officials, can also affect the prosecution's probe into crimes committed by Hamas, says rep. for victims, Vias Gvirsman.
Donald Trump said the ICC abused its power by issuing "baseless arrest warrants" targeting Netanyahu and former Defense Minister Yoav Gallant.
The order will place financial and visa sanctions on individuals and their family members who assist in ICC investigations of US citizens or US allies said the official. The ICC did not comment.