United last week turned down an approach from Newcastle for Morrison but Ferguson appears to be growing tired of the situation.
"His agent has been working hard to get him another club," he said over the weekend.
"We've offered him terms which he has refused. His demands are unrealistic. We've rejected an offer from Newcastle."
Morrison, however, has taken to Twitter to deny Ferguson's claims.
"I have never 1s [once] turned down a contract off Manchester United," he Tweeted.
Morrison, who is yet to make his league debut for the club but has played in the Carling Cup, is also believed to be attracting interest from Spanish giants Real Madrid and Barcelona.