"We understand that the wall... Is sacred for Jews," Jibril Rajoub, a senior member of president Mahmud Abbas's Fatah, told Israel's Channel Two television.
"At the end of the day it must be under Jewish sovereignty, there is no doubt about it," he added.
The Western Wall is the last remnant of the supporting wall of the second Jewish temple, built by King Herod and destroyed by the Romans in 70 AD.
It is situated below the Al-Aqsa mosque compound, Islam's third holiest site, referred to by Jews as the Temple Mount.
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Speaking in Hebrew, Rajoub, who is also head of the Palestinian football federation, said, however, that the Al- Aqsa compound "is ours".
The legal and diplomatic status of Jerusalem is one of the key points in the Middle East conflict.
Israel considers the entire city to be its eternal and indivisible capital, but the Palestinians want east Jerusalem as the capital of their future state.
"The Temple Mount and the Western Wall will always remain under Israeli sovereignty," he said.
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