Zaha was Sir Alex Ferguson's final signing as United manager but has been chronically under-used since his £15million move from Crystal Palace.
Zaha's six-minute substitute outing at Aston Villa on Sunday was only his fourth United appearance and the 21-year-old has made just two starts since arriving in the summer after a deal was struck last January.
It is no surprise that a loan move has been mooted, with Newcastle said to be among the clubs interested in getting the services of a player good enough to win two full England caps.
And Old Trafford boss Moyes concedes he is not against the idea.
"I did say to Wilf if I didn't feel he was getting enough games, I would consider it," Moyes said in quotes reported by MUTV.
"Obviously if we've got injuries or other reasons, I wouldn't take it on board.
"But the truth is we haven't had anybody phoning up and wanting to do that at the moment.
"While it's like that, I am fine."