In this video, Israeli former Defense Minister Naftali Bennett said Israeli forces were "committed to international law" and that Hamas militants should be prosecuted.
"Hamas is a globally recognised terrorist organisation that should be held accountable for its crimes, its blatant disregard for human life,"
If you want to put any Israelis soldiers name on your list, put my name first", he declared.
Israel launched its offensive after Hamas fired rockets at Jerusalem and Tel Aviv in retaliation for Israeli police clashes with Palestinians near al-Aqsa mosque in East Jerusalem during the Muslim fasting month of Ramadan.
The ICC is examining whether Israeli forces committed war crimes - including disproportionate attacks and wilful killings of civilians - during the 2014 Gaza war when Israeli armoured forces swept into the heavily urbanised enclave.
It is also probing whether Hamas, which rules Gaza, and other Palestinian armed factions carried out intentional attacks on civilians with rocket fire into Israel, as well as torture and killings of Palestinians by Palestinian security services.
While the investigation is "politically fraught", Bensouda said, she denied accusations by Prime Minister Benjamin Netanyahu that her office was biased, or was singling out the state of Israel.
"It is regrettable and indeed unfortunate that these are the reactions that the prime minister would have. This is far from the truth," said Bensouda, a Gambian who will be replaced by Britain's Karim Khan when her nine-year term ends next month.
Bensouda said the decision to pursue the investigation was anchored "in the law", not politics.
"There is a lot of rhetoric. There is also unfortunately a lot of misinformation about what this case is and what it is not...And there is a lot of spinning about the ICC, trying to portray (it) as being biased, one-sided...which is not the case. We are always very impartial. We are always very objective."
Bensouda said her team met regularly with Israeli and Palestinian officials about the ICC's preliminary inquiries to create transparency and give both sides a fair opportunity to present their positions.
"This is perhaps even more complex than what we have faced before," Bensouda said, "but yes, at the moment there are signs there will be no cooperation whatsoever from one side..., and (we) will have to look for a way to deal with that."
The Palestinian Authority, which exercises self-rule in parts of the West Bank but has no power in Gaza, is an ICC member and has repeatedly urged it to prosecute Israelis over alleged crimes in wars in 2014 and 2008-09.
More than 2,100 Palestinians were killed in the seven-week Gaza war in 2014, which saw a devastating Israeli offensive into the enclave during which thousands of homes were razed, along with 73 Israelis from rockets fired out of Gaza into Israel.
This time around, many more Gaza rockets are crashing into Israel's commercial heartland, while Israel said it had bombed close to a thousand militant targets in Gaza and has massed tanks and troops along the enclave's border.
In Gaza, Hamas spokesman Fawzi Barhoum said Palestinian militant groups were carrying out a "natural right of self-defense" and it was Israeli leaders the ICC should prosecute.
"Our people are the victims of the aggression conducted by the Israeli occupation, which is carrying out all forms of killing and terrorism against our people,"
