The Cheshire home of
A video posted on social media showed an individual throwing a red flare over a large gate, while others sang songs aimed at the 48-year-old.
Woodward, who is married with two young children, was not present at the time.
A club statement added: 'Fans expressing opinion is one thing, criminal damage and intent to endanger life is another. There is simply no excuse for this.
'We know that the football world will unite behind us as we work with
Woodward has been the subject of growing supporter discontent at United in recent weeks. He is being blamed for United's inactivity in the transfer market this winter.
Both at the recent home game against Burnley and Sunday's FA Cup victory over Tranmere, supporters have sung the same song about Woodward and made repeated calls for the club's owners, the Glazer family, to leave.
The incident is reminiscent of another attack, in 2004, on the car of then club director
Woodward advised
United play local rivals Manchester City in the Carabao Cup semi-final second leg on tonight and trail 3-1 on aggregate.
© Pakistan Press International, source