In a statement issued yesterday, the European Union Representative and the EU Heads of Mission in Jerusalem and Ramallah expressed "strong concern" over the demolition.
Ariel called on the Israeli government to "impose full sovereignty" in the Palestinian territories.
The statement concluded by calling on "the Israeli authorities to rebuild the school structures in the same place".
Meanwhile, Israeli troops combed Deir Istiya town, northwest of Salfit, following the killing of an Israeli settler in a stabbing attack at the entrance of Ariel settlement. Another guard opened fire on the assailant and killed him, it added.
In a separate incident, another Palestinian youth was seriously injured in an apparent hit-and-run attack by an Israeli settler on Wednesday evening, al-Araby reported.
Also on Tuesday, Israeli soldiers shot and killed Palestinian 22-year-old Ahmad Jarrar in a pre-dawn raid in the northern West Bank city of Jenin.
They said that Zama'ra "arrived by vehicle at the security post leading to the settlement, and attacked a guard directly after exiting the auto", and added that he stabbed a guard in his hand, causing very minor wounds, before another guard shot him dead.
Local residents said that Israeli troops arrived at the Zamareh family home shortly after the attack and began interrogating relatives, while young villagers hurled stones at the soldiers.
The occupied West Bank has been in a state of turmoil for a month, following the killing of a settler rabbi in January.
Earlier this week in response to Shevach's murder, Israel's government in a rare move made a decision to "legalise" the rogue West Bank outpost where he lived, Havat Gilad, essentially creating a new settlement.
Israel's Shin Bet domestic security agency said that during the attempted arrest, the "terrorist" came out of a building and security forces fired in his direction.
Japan, which voted against the decision made by President Trump to recognize Jerusalem as the capital of Israel at United Nations general assembly vote reportedly rejected Trump's recognition once more during the bilateral meeting.
Israeli settlements are seen as illegal under global law and a major obstacle to peace as they are built on land the Palestinians see as part of their future state. Two Israelis have been killed in that timeframe.
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