It has been suggested that the Dutch striker is unhappy with some of the methods introduced following a first managerial change at Old Trafford in 27 years.
Tension is said to have mounted on the training field ahead of Van Persie being left out of United's side for a UEFA Champions League clash with Real Sociedad on Wednesday.
Moyes, though, claims Van Persie could not be happier and his absence in midweek was due to a prior arrangement regarding management of toe and groin complaints.
The United boss said in the Daily Star: "I would say that's (talk of a rift) complete nonsense.
"All that stuff you're saying is a load of rubbish. I don't even need to answer it because it's such rubbish."
Moyes added: "He's been great, fantastic.
"I told him before Southampton that if I played him in that, he'd miss the midweek game to try and give his toes a rest. His groin was a bit affected because he's been playing with injections.
"He played with the injections in Holland. The previous games for us he played with injections in his toes so we are trying to get away from injecting him.
"He's been bothered by the toe problem and been taking injections in one of his small toes.
"Then he got the other one stood on in Shakhtar as well. So his toes have been bothering him for a long time and he felt it was affecting his groin as well so we took the chance to get him a little bit of recovery.
"He's doing great, doing some great stuff for us and I've only found him fantastic to work with. I'm finding it hard to answer because he's been that good."