United are currently fourth in the Premier League, five points behind their neighbours City and ten away from runaway leaders Chelsea who also have a game in hand.
Despite losing just four games since September, United's performances have flattered to deceive as van Gaal struggles to find the right balance for his side.
However, Liverpool legend Carragher believes, United were never in the race for the title.
"There was never any chance of United finishing in front of Chelsea and Manchester City this season, not even after they spent £150.2million on new players and recruited a coach with a distinguished reputation," he told the Daily Mail.
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Ashley Young celebrates his midweek winner against Newcastle
"Yet given the way some people are talking about United at the moment, there seems to be disappointment and mystification that Van Gaal’s team are in the middle of a fight to get into the top four and not perched in top spot, setting an unrelenting pace."
Carragher also leapt to the defence of van Gaal, insisting that the Dutchman is putting style before substance and if United can get through a tricky run-in, it could bode well for the future.
He said: "What we are seeing — slower possession and the readiness to go more direct to Marouane Fellaini — is not transition.
"This is now United’s style and, so far, it has got them into a position that is just about where they should be — and on course to achieve the remit Van Gaal was given.
"If he leads them into the Champions League, he will have achieved his aim for the season. If adds the FA Cup, his first year in Manchester will be a big success."
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