Eleven Russian footballers also benefited from a cover-up after failing a doping test, the report said.
"Email evidence available... shows that the SAVE decision for the football players was the final decision of 'VL'. VL is the first name and patronymic name initials of the Minister of Sport, Vitaly Leontiyevich Mutko."
Mutko, president of the organising committee for the 2018 World Cup which will be hosted by Russia, has not commented since the release of the McLaren report.
However, when the same allegations were made in June by German broadcaster ARD/WDR, he described them as "silly" and said that he and Russia were being smeared as payback for winning the right to host the 2018 World Cup.
Asked bout Mutko's situation, FIFA said "the Ethics Committee is an independent body of FIFA and only it can decide what actions to take in respect to this issue."
The ethics committee could not immediately be reached for comment.