The Scot claims that the England international asked to train with the reserves rather than being banished as the wantaway star continues to push for a summer transfer to Chelsea
Chelsea have had two bids rejected for the England international, with the player - who trained with the reserves in midweek as he continues his recovery from a shoulder problem - desperate to complete a summer transfer to Stamford Bridge.
However, Moyes says that the club's stance remains unchanged.
"He's not for sale," the United boss told reporters after Sunday's Charity Shield success over Wigan Wembley. "I'm not changing so there's no more to answer to your question.
"Some of you might not like hearing this because you've written untruths. I didn't fall out with Wayne. He trained with the reserves at his asking."
Moyes also moved to clarify his suggestion before the game that Rooney would be fit to play for England against Scotland in midweek but not United’s Premier League opener against Swansea City on Saturday.
"I want him to join up with England," the Scot added. "He's not ready, you'll probably see that in the game. He's had no football, no match action. So you probably wouldn't expect someone in that condition to play for a long period.
"I've spoken to Roy Hodgson for two hours on different occasions. It will be great for Manchester United if he gets some playing time."
Moyes was speaking after winning the Community Shield with a 2-0 win over Wigan in his first official match as United manager - but the Scot was quick to give the credit to predecessor Sir Alex Ferguson.
"I class that as another piece of silverware for Sir Alex," said the new man graciously. "It was his team that won the Premier League last year. A big thank you to him, it's for him today. The next ones will be down to me."
United will kick off the defence of their title against Swansea at the Liberty Stadium on Saturday evening.