Highly-rated youngster Morrison, who has made just three first-team appearances, is currently negotiating a new contract with United and is reportedly demanding £30,000 a week - a figure the Premier League club are not willing to meet.
The 18-year-old has subsequently been linked with a move away from Old Trafford and speaking in his Friday press conference, ahead of United's trip to Emirates Stadium, Ferguson refused to discuss the controversial midfielder.
"I have nothing to say about that," he said. "It is nothing to do with a game against Arsenal."
Morrison has dismissed reports that he would consider a switch to arch-rivals Manchester City, but Italian side Roma are now preparing a bid for a player who is rated the best to come through United's academy in years.
However, despite the youngster's quality on the pitch, his short career has already been tainted by a series of disciplinary problems off it. Among them was a caution for assaulting his mother and he has been urged to seek counselling.
United boss Ferguson did play down claims that negotiations over a new contract for striker Danny Welbeck had hit a stumbling block.
"There is no issue," he said. "We know the situation well with Danny. There is nothing to worry about there."
Welbeck is expected to have recovered from a minor knock sustained as he scored against Bolton in time to face the Gunners this weekend.
It will be the first time the two sides have met since United's staggering 8-2 win over Arsene Wenger's men in August.
"They have recovered well from that," said Ferguson. "They have had a really good spell of results and qualified for the next stage of the Champions League, despite having quite a few injuries. It will not be easy."