He said that Egyptian peace efforts on the Gaza Strip were "not ripening in a way that can bring a ceasefire".
In Friday's raids, a member of the armed wing of Hamas died in an exchange of fire between Palestinian fighters and the Israeli military, emergency medical services said.
Two people were injured in the fighting, which broke out after Israeli tanks and bulldozers crossed into the Gaza Strip.
The Israeli army said it had entered the territory in an attempt to prevent rockets from being fired by Palestinian fighters.
Hamas said in a statement that its fighters had fired anti-tank rockets at the troops.
An air raid on the village of Beit Lahiya in central Gaza reportedly targeted a Hamas base causing a number of injuries.On Thursday, an Israeli man was killed in a mortar attack by Gaza fighters, triggering an air raid on the territory that left a four-year-old Palestinian girl dead.
The girl's mother and another woman were wounded in the air raid by an Israeli drone which the Israelis said had targeted Palestinian armed groups.