For the first time in his Manchester City career, Haaland failed to record a shot and did not also get a touch in the opposition box as Pep Guardiola's side fell to a 1-0 defeat to Spurs.
Still the former Borussia Dortmund striker has already scored 25 goals in the Premier League and 31 across all competitions this season.
But Carragher feels Man City's style of play has not brought out the full package in Haaland.
"I think we've only seen 60 per cent of Erling Haaland. You think of the goal he got versus West Ham when there was space in behind and he gets in behind," Carragher told Sky Sports.
"I know that's not there every time due to the way City play. He's come from a counter-attacking league [the Bundesliga] where it's end to end.
"You saw his blistering pace there – we don't see it here. He might have picked the wrong club to actually get the best out of him.
"We're not seeing everything of Haaland. City have scored the exact number of goals as last season. He's got 25 of them, but City overall have scored the same number overall.
"However, they've conceded more and are easier to counter-attack against now. They are a different – and lesser team – with Haaland in the team. That's not his fault.
"City won't play end-to-end football. That's not Pep Guardiola's way. His players don't have the energy or power to play that way – they build up slowly and push the opposition back to their box and play from there.
"When they lose it, they win it back quickly and keep the team pinned back. Haaland has scored 25 league goals and lots of them are ones that come into the box, and he puts them in.
"But we're not seeing the full package of what the player can do because of the team he's joined."
