"During the incident, an explosive charge was thrown and the Israeli force came under fire," she said.
Palestinians said al-Heija was considered to be close to Zakariya Zubeidi, a high-profile al-Aqsa leader in the camp who has long been on the Israeli army's wanted list.
"We, at al-Aqsa Martyrs Brigades, will continue to defend the Palestinian people until the last drop of our blood," Zubeidi told Al Jazeera.
Israel has indicated that it will continue to pursue Palestinian fighters in the West Bank despite pledging to support Abbas and the new emergency government which effectively only controls that territory.
Salam Fayyad, the Palestinian prime minister in the cabinet appointed after Hamas took full control of the Gaza Strip, has said Israeli raids undermine the Fatah's intention to disarm groups in the West Bank.
Israel has conducted several raids around the West Bank town of Nablus over the past two days targeting fighters from the al-Aqsa Martyrs Brigades.