Mahmoud Abbas made the remarks yesterday in an interview with Israeli Channel 2 TV's "Uvda" program. Israel has accused him of failing to condemn the wave of Palestinian attacks on Israeli civilians and security forces that erupted in mid-September.
The attacks, mostly stabbings but also shootings and car-ramming assaults, have killed 28 Israelis and two Americans.
Over the same time, at least 188 Palestinians have died by Israeli fire. Israel says most were attackers, and the rest died in clashes with Israeli security forces.
US mediated Israeli-Palestinian peace talks collapsed in 2014.
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In the interview, Abbas called on Netanyahu to meet with him "at any time."
"I want to see peace in my life," he said.
As for the current situation, he said the security cooperation between the Israeli military and Palestinian security forces continues and that if it were not for his forces, the violence would be much bloodier now. He added that Palestinian security forces have raided schools and confiscated knives from students and told them not to carry out attacks.
The Palestinian, Ehab Maswada, stabbed the Israeli, Gennady Kaufman, outside a site holy to Jews and Muslims. Maswada was then shot and killed by officers at the scene. Israel says home demolitions are an effective tool to deter attacks, but critics say the tactic amounts to collective punishment.
Israel blames the attacks on incitement by Palestinian leaders amplified on social media. Palestinians say the violence, often carried out by teenagers in apparent suicide missions, is rooted in frustration at nearly five decades of Israeli military occupation.