The Canaries will travel to Old Trafford on Saturday searching for three much-needed points as the club reside two points above the relegation zone in the table.
Uncertainty surrounds United following Tuesday's dismissal of Moyes, but Adams does not believe that it will affect this weekend's match.
"Obviously, very sorry for David," Adams told reporters. "It's never nice when managers lose their jobs. I'm not too fussed over what time it's come. We've just got to deal with it.
"There will be a lot of speculation - is it beneficial for us? Is it going to be a hindrance? It is what it is.
"We're playing a good team, with good players who have probably not done as well as they would've liked this season, hence what's happened this week."
Ryan Giggs will take interim charge of United's first team for the remainder of the season.