The attacker tried to flee the scene on foot but he was chased, shot and neutralised by the police.
The cases could also include alleged war crimes by Hamas, which controls Gaza.
The moves are in retaliation for moves by the Palestinians to join ICC in The Hague.
US said that the Palestinians’ ICC request ‘badly damages the atmosphere needed to make peace.
USA and Australia opposed the resolution while the UK, Nigeria, SKorea, Rwanda and Lithuania abstained.
The EU court ruled that the listing was not based on “acts examined and confirmed in decisions of competent authorities.”
Palestinian medical officials identified the dead man as 20-year-old Mahmoud Abdalla.
Minister Ziad Abu Ein died following a scuffle with the Israeli troops during a protest demonstration on Wednesday.
The forces also fired tear gas close to the demonstrators, witnesses said.
Mohammed Abdelkarim, whose mother and sisters were inside the house when it was set alight, says Hebrew slogans were scrawled on the house.
Four rockets were fired in the past 24 hours, the military said, without elaborating on the test or type of rockets fired.
Streets are subdued, marketplaces are quiet and people are on edge in Jewish areas of Jerusalem.
The house demolished in the Silwan neighborhood near the Old City belonged to Abdel Rahman al-Shaludi.
UN Secretary General Ban Ki-moon strongly condemned an attack on a synagogue in West Jerusalem.
Israeli authorities gave preliminary approval for construction of 200 new homes in a Jewish area of east Jerusalem.