An official from the Palestine Red Crescent Society told the Wafa news agency that the man was wounded in the shooting and taken to hospital for treatment.
Separately, Israeli forces stormed the town of Beit Furik, east of Nablus, firing live ammunition and tear gas as they entered.
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Israeli soldiers ordered several shop owners to close their businesses during the operation, while residents described the presence of the forces as intimidating.
The incidents come amid continuing Israeli military operations and heightened tensions across the occupied West Bank.
Reports of shootings, raids and restrictions on Palestinian movement and businesses have continued across the territory as violence escalates.
The Israeli military has not immediately provided a public comment on the reported shooting in Beita or the operation in Beit Furik.
