Zaha was Sir Alex Ferguson's final signing as Manchester United manager but has barely been 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.
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.
Moyes is not against the idea, but first he needs a club to actually show their interest.
"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 it the moment.
"While it's like that, I am fine."
@hincey......no, the point is, and you're struggling to understand this, it's ridiculous that Arsenal fans are taking the p*ss out of the current champions....when Arsenal have won nothing for 8 years. It just makes you look like idiots. It's something I'd expect from the fans of small club, not the 3rd most successful. It's a very clear indication of how far Arsenal have fallen that a large section of your fans are crowing about being top in December.....especially as you won't be come the turn of the year. I'm not bothered about leixlip, we all know he's plastic.... he's not even from England let alone north London! If he had a backbone and actually believed what he's saying.... he'd take me up on my bet wouldn't he? What's funny is that he doesn't realise how transparent he actually looks.- allaboutunited