The Israeli premier praised US President Donald Trump for "acting swiftly, boldly, and resolutely" in killing Soleimani in the Iraqi capital Baghdad.
Following Friday morning's killing of Major General Qasem Soleimani, Lebanon's Iran-backed Hezbollah movement called for the missile strike by Israel's closest ally, to be avenged.
The court is not expected to hand down an immediate ruling and may ask for a full panel of the court to convene on the matter.
He announced his leadership challenge last month after Israel's attorney general indicted Netanyahu for fraud, bribery and breach of trust.
This triggers a nearly three-month-long campaign ahead of the vote that most polls predict will not produce dramatically different results that led to the current logjam.
The 77-page indictment was made public on Monday, charging the longtime Israeli leader with bribery, fraud and breach of trust in three separate corruption cases.
Benny Gantz says he would head the government for two years and then Netanyahu would lead the following two years if he is acquitted of corruption charges.
In a 15-minute speech, Netanyahu railed against his political rivals and state institutions, accusing the police and judiciary of bias.
Netanyahu has called the allegations part of a witch hunt, lashing out against the media, police, prosecutors and the justice system.
Netanyahu responded immediately after Gantz's announcement, saying he remained open to talks in the coming weeks.
Israeli Prime Minister Benjamin Netanyahu's main rival Benny Gantz announced he had been unable to form a coalition government, hours before a 28-day negotiation period was due to expire.
Neither Netanyahu nor Gantz have the required majority to build a coalition government. Kingmaker Avigdor Lieberman has refused to give either the nudge for the required 120 seats majority.
Netanyahu also said that he will not abandon the smaller right-wing and religious parties supporting him in parliament.
His request came a day after President Reuven Rivlin tasked him with forming a new government following September 17 general elections, which left neither him nor Benny Gantz with a clear majority.
The elections held last week failed to produce a clear path to form a government for either Netanyahu or Gantz, leading to the intervention of President Rivlin to get both leaders work together.