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United face Manchester City on Tuesday with the champions looking unlikely to secure a top four finish, but Charlton's faith in the decision to appoint Moyes remains unwavered.
"It doesn't mean we are going to change everything. I'm absolutely certain that we picked the right man," he told BBC Sport.
City triumphed 4-1 over United in Moyes' first Manchester derby earlier in the season and Charlton feels victory over the cross-city rivals will prove to be a huge confidence boost ahead into the final few weeks of the season.
He continued: "We are trying our best to make sure that we can beat them. If we can, it will be a tremendous stride because we've had a bit of criticism leading up to this, but I never doubt Manchester United."