Najdorf played eleven times for Argentina in Chess Olympiads from 1950 to 1976. He played first board in the 9th Chess Olympiad at Dubrovnik 1950 (+8–0=6), as well as at Helsinki 1952 (+11–2=3), Amsterdam 1954, Moscow 1956, Leipzig 1960, Varna 1962, Havana 1966, Lugano 1968, Siegen 1970, and Haifa 1976. Only during the Olympiad at Nice 1974, he played on third board.