Schenker said that the US is not aiming to wage a war against Iran or even change the government.
"What we want is only a change in its behaviour," he said.
The US diplomat added that the United States will impose sanctions on all those who support Hezbollah regardless of their religions.
"The US sanctions on Iran have a great impact on Hezbollah especially when it comes to securing the salaries of the party's members and the funding of its needs," he said.
The United States issued on Tuesday sanctions against four members of Hezbollah, including a man close to the party's leader Sayyed Hasan Nasrallah.
Last month, the US Treasury slapped sanctions on the Lebanese Jammal Trust Bank for "brazenly enabling" Hezbollah's financial activities.
In July, the Treasury took the unprecedented step of sanctioning two sitting Hezbollah members of parliament, Amin Sharri and Mohammad Raad, alongside Security Chief Wafiq Safa.