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City have scored 74 goals in just 20 home games in all competitions this season, and Zabaleta feels they can put themselves in a commanding position against a team that have reached the semi-finals in the last six seasons.
"We need to believe in ourselves that we have a great team, great players to win big games," Zabaleta told Sky Sports.
"We know how important it is to win big games and of course it's a big challenge for us because when you play against the best you see where you are.
"We must be solid, we know Barcelona have got important players in the front with Pedro, Neymar and [Lionel] Messi.
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"We need to be ready to defend well, be a compact team and then obviously score goals because playing at home we need to score as many goals as we can for the second leg."