"The criminal complaints will be examined according to the usual procedure," the Office of the Swiss Attorney General said, adding that it would contact the Swiss foreign ministry to examine the question of immunity of the individual concerned.
The Office of the Swiss Attorney General would not reveal details about the nature or number of the complaints or who had lodged them.
A spokesperson for Herzog's office and spokespeople for Israel's government and foreign ministry did not immediately respond to requests for comment.
Herzog spoke at the World Economic Forum on Thursday, where he called on the international community to reject genocide claims against Israel.
Herzog said last week there was "nothing more atrocious and preposterous" than the lawsuit filed by South Africa with the International Court of Justice (ICJ) accusing Israel of genocide against Palestinians in Gaza.
In making its case, South Africa named Herzog and other Israeli officials it says have expressed genocidal intent against Palestinians.
The Israeli offensive in the Gaza Strip launched in the wake of a deadly rampage by Hamas militants in southern Israel on Oct. 7 has displaced most of the enclave's 2.3 million people and caused a grave humanitarian crisis.
(Reporting by Gabrielle Tétrault-Farber in Geneva and Henriette Chacar in Jerusalem; Editing by Christina Fincher and Hugh Lawson)
