The Nerazzurri were remarkably solid, taking the lead after long periods of possession with a Hakan Calhanoglu strike from outside the box.
They held out under pressure after the break, eventually doubling their lead with a Lautaro Martinez penalty in stoppages.
“It’s a good period of form, it was our third game in six days, but we showed great character and played good football,” Inzaghi told Sky Sport Italia.
“The only negative is that we should’ve scored the second goal earlier, because Venezia are one of the surprises of the season and it’s not good to leave it open.
“We are Inter, we should’ve killed the game earlier, but in the circumstances we’re happy.”
“I consider it a compliment. Inter are the champions of Italy, some said this was meant to be a transitional year, one focused on just saving the club, but I came here to find a club that supports me in everything and a squad of extraordinary lads.
“We brought in players suited to the project. We reached the Champions League Round of 16, which was the first objective, and will go to Real Madrid aiming to take first place in the group.”
Inzaghi was asked if he had told the players in pre-season that they had to prove they could win even without Lukaku and Hakimi?
“There was no need for that. I train some great players who are above all some great guys. Eriksen is another who was fantastic in the second half of last season and we are without.
“It’s a growth process, we brought in players who are functional to our idea of football and we keep going.
“Hopefully, Matteo Darmian doesn’t have anything serious, we are a little worried because he felt a pull and asked to come off.”