Only one has scored a hat-trick on his international debut
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Zinedine Zidane
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Lothar Matthäus
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Zico
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Guillermo Stabile
Guillermo Stabile of Argentina scored a hat-trick on his World Cup debut against Mexico in 1930. This was the first-ever World Cup and he scored 3 goals in his first match. Zidane (France), Matthaus (Germany), and Zico (Brazil) all scored hat-tricks but not on their international debuts.
Guillermo Stabile of Argentina scored a hat-trick against Mexico in the 1930 FIFA World Cup, in what was also his international debut for Argentina — a genuinely rare feat of scoring three goals in one's very first cap in football's biggest tournament. Zinedine Zidane, Lothar Matthäus, and Zico were all legendary players with distinguished international careers and multiple hat-tricks or standout World Cup moments, but none of them achieved a hat-trick specifically on their debut appearance. Stabile went on to be the tournament's top scorer in 1930, and this debut hat-trick remains a unique historical marker in World Cup history.