The 5-0 romp over Bayer Leverkusen was United's biggest away win in Europe for over half-a-century, however, Beckham says the signs of recovery were already there.
The United legend told Sky Sports that the transitional period since Sir Alex Ferguson handed over the reins at Old Trafford is over.
"I don't think it was a game changer because I think we've seen over the past few weeks that players are performing and players are gelling together, there's more confidence in the team. You can see that and you can feel that.
"David Moyes is a great manager he's had success with Everton over the years, the way they played the game, the way they had that togetherness.
"I've known David for quite a few years when we played together at Preston, I know how driven he is, I know how loved he is by the players and he'll have success.
"Big players leave and the club moves on and it's the same with the manager. He'll always remain part of Manchester United in such a huge, huge way but David Moyes is the manager now and you can see the players coming together."
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