The Scot says that the Dutch striker could return to face the Toffees at Old Trafford and praises Roberto Martinez as he prepares to take on his former side on Wednesday
The Netherlands international has been struggling with toe and groin injuries in recent weeks and missed United's Champions League clash with Bayer Leverkusen and the 2-2 draw with Tottenham at White Hart Lane on Sunday.
The champions face Roberto Martinez's high-flying Toffees on Wednesday and, when asked if Van Persie could return, Moyes told a pre-match press conference: "Robin's okay. He's got a chance."
United go into the game two points behind Everton, having drawn their last two Premier League games, and the Scot hopes to see his side return to winning ways.
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"But we still drew two games and won one last week. We'd like that to be a better ratio but nevertheless it's not a bad one either."
The match sees Moyes face his former side and he took time to praise Martinez's impact at Goodison Park.
"They have a new manager there and he's brought in his own players as well. Roberto Martinez has done a really good job," he observed.
"I had a great time at Everton - they were fabulous to me - but I'm manager of Manchester United now."