West Ham had hoped to expose United's defensive injury troubles, with Michael Carrick pressed into emergency centre-half duty.
Andy Carroll was never able to isolate midfield specialist Carrick though, leaving Moyes pleased with the "tag-team" job from Carrick and Marouane Fellaini.
"Michael Carrick made the centre-half job look very easy today," Moyes said.
"But I thought he and Marouane Fellaini tag-teamed Andy Carroll today and limited him as much as they could.
"Because we had some problems defensively overall it was an excellent performance."
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