Kimvuidi was signed by Bucs from Maritzburg United in 2023 but did not fully establish himself as a regular starter under Jose Riveiro.
He made 15 appearances for Pirates in all competitions, of which eight were in the league.
Since he had fallen down the pecking order, Kimvuidi had already been linked with an exit, and reports emerged that the Algerian side JS Kabylie were interested in him.
His sudden disappearance from Pirates and appearance in Israel has been greeted with similar shock, if not equal to what was experienced by the fans when Mohau Nkota's exit was confirmed.
The Bafana Bafana forward joined Al-Ettifaq Club of Saudi Arabia last month when Pirates were in pre-season in Spain, at a time when there was not much speculation around his future.