The Daily Star says United have ruled out a January bid for Zaha, but still hope to land the Crystal Palace starlet in the summer transfer window.
Both United and Arsenal have been heavily-linked to the exciting 20-year-old, who made his England debut earlier this season.
And recent reports have suggested the Ivory Coast born star will be the subject of bids from both Premier League sides in upcoming days.
But, despite confirming United's interest in Zaha, Old Trafford chief executive David Gill dismissed the idea they will move for the winger this month.
"He's one of the players we're looking at. That's all I'll say at the moment," Gill told Sky Sports News.
"But even if we did do something with Wilfried Zaha, that would be for the summer."