Inter won 2-0 thanks to Joaquin Correa's brace.
“This was not a simple game, as we know Udinese are a physical side who closed down the spaces," Inzaghi told Sky Italia.
“The lads didn't have much time to prepare, but we worked really hard and must continue after two consecutive victories with clean sheets.
“We have excellent defenders, but a clean sheet depends on balance throughout the team and not just the defenders."
Correa had been unimpressive before the two goals in eight minutes, but Inzaghi insists he was never planning to substitute him.
“Absolutely not, he did what I asked in the first half, tried to spread the defence and attack the space. I know him well, he's a great resource for us and I am fortunate to have all four strikers available at the moment, so I must be wise in choosing them game by game."
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