The Daily Mail says Giggs made a personal plea to his former manager to show leniency to Ashley Young, Danny Welbeck and Tom Cleverley after they were photographed partying into the early hours in Manchester following United's Champions League defeat by Bayern Munich.
Moyes punished his three England internationals with a fine and ordered them to do extra training at Carrington last week.
Giggs agreed that his team-mates were unwise to be out on the town so soon after high-profile defeat, but argued that they had not broken any specific rules.
He also suggested that Moyes would not have taken such a hardline stance with some of the more senior members of his squad.
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