Pundit and former Liverpool player Lawrenson made his observation in an interview on an Irish radio station on Friday.
Given Lawrenson knows Moyes through a connection at Preston, the comments were noteworthy, even if United privately distanced themselves from them.
However, offered the opportunity to respond following Saturday's 1-0 home defeat by Newcastle, when Van Persie returned from a groin injury after a four-match absence, Moyes did not mince his words.
"That is absolute nonsense," said Moyes.
"I don't know what harder or tougher word I could say but that's as good as I've got."