The Citizens have made a conspicuous start to the current Champions League campaign following an opening day loss.
Manchester City suffered a surprise 2-1 loss to Ligue 1 side Lyon in the Champions League at The Etihad.
The Eastlands outfit have never won the competition but have previously reached the semi-finals and quarter-finals.
Manchester United, though, were 3-0 winners against Swiss side Young Boys in the Champion League.
The Red Devils have lost their last two finals to FC Barcelona under Sir Alex Ferguson in 2009 and 2011.
However, former Arsenal striker Wright believes the Red Devils can go further than Manchester City in the title race.
Former Arsenal striker Wright believes Manchester United have a better chance in the Champions League than Manchester City.
“With their experience they can go further than Man City,” Wright told Sky Sports.
“Their defensive unit can be undone. It depends what combination of defenders they use and how confident they are.”
Manchester United signed Shakhtar Donetsk star Fred, Portuguese defender Diogo Dalot and Stoke goalkeeper Lee Grant.
The Red Devils were held to a 1-1 draw with Wolverhampton Wanderers in their most recent Premier League fixture.
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