There were claims in the Sunday press that Welbeck could be ready to seek a move away from Old Trafford at the end of the season.
The Manchester-born forward came on for the last 15 minutes of the Reds’ 2-0 defeat to Everton and Moyes was asked afterwards about the rumours.
"Danny Welbeck's really important to me and I really value him," the manager said in his post-match press conference.
"As you well know, there have been lots of stories [in general].
"I can only tell you Danny Welbeck is really important – to me and to Manchester United."