The 22-year-old’s Bayern Munich team-mate Thomas Muller grabbed a hat-trick as Joachim Low’s side got off to the perfect start in Brazil after Portugal defender Pepe was dismissed shortly before the break.
But Gotze says Germany may not be able to afford to miss the sort of chances they wasted during the demolition of Cristiano Ronaldo’s side in Salvador.
“We could in some situations have got more goals against Portugal,” he told Kicker.
“The result was pretty good, but in the first half we got a penalty and the red card played into our hands.”
Die Mannschaft continue their World Cup campaign against Ghana in Fortaleza today, with a win in that fixture all but securing their place in the round of 16, and Gotze says he is desperate to get off the mark.
“I had one good chance to score a goal [against Portugal]. I want to do that against Ghana now.
“It will not be easy, because the Ghanaians are under pressure and need to win… It is already a playoff for them and we want the three points.”