The World Cup starts on June 14 in Russian Federation.
This season Neymar has scored 29 goals in 30 appearances for PSG across all competitions, while he has provided 15 assists.
However, the 26-year-old is expected to recover in time for the World Cup in Russian Federation.
The operation was declared a complete success.
He will be assessed by PSG bosses in six weeks to determine when he will be able to return to training.
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PSG will assess Neymar in six weeks to establish a possible date for his return to training, with reports suggesting the 26-year-old could be out of action for around three months.
PSG lost 3-1 to Madrid in the first leg of the Champions League round of 16 in Spain and host the defending European champions at the Parc des Princes on 6 March.
However, doctors stressed on Saturday that there was no friction between PSG and Brazil's federation, the CBF.
They said: "Neymar is already in his room".
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Quoted on Brazilian newspaper O Globo's website, he said: "The recovery takes from two and a half months to three months".
"There is absolutely no split, despite what was written".
According to Brazil team doctor Rodrigo Lasmar, Neymar is set for a spell on the sidelines that could last up to three months - though he does expect him to be fit in time for the World Cup in June.
The physician added, however, that he should be in "full form" by the time of the World Cup.
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