Germany coach Hansi Flick credited Niclas Fullkrug with having the ability to "pull the team along" after the striker's double against Peru.
Fullkrug's two first-half goals ensured Euro 2024 hosts Germany claimed a routine 2-0 victory in their opening match of 2023.
Germany dominated Saturday's friendly in Mainz, and only a twist of the rules prevented Kai Havertz making it 3-0 in the second half, with the Chelsea forward's first-time finish on the rebound after he hit the post with a penalty disallowed as no other player had touched the ball.
Flick reserved special praise for Fullkrug, who has netted five goals in as many international games, and became the first Werder Bremen player to start for Germany since Serge Gnabry in 2016.
"Niclas is a player who is special, he is very confident, he wants to win and can pull the team along. He also gives the team a lot of positive energy," Flick told Sky Sport.
Sandro Wagner is the only other player this century to have scored five goals across his first five appearances for Germany.
However, there are elements for Fullkrug to work on, with Flick noting: "There were a few situations that I wasn’t happy with today.
"If we play forward, we have to have a certain seriousness about it.
"Niclas has also had one or two situations where he can be better, but he's still there for goals and he scored them."
Germany's game was their first since their disappointing showing at the World Cup, where they suffered a group-stage exit.
However, Germany are on a 13-game unbeaten run in friendlies (W8 D5) equalling their record, which was set between 1994 and 1996.
"I think you could see that the team played with a lot of dynamism, especially when it came to attacking," Flick said.
"A lot of things were good, but not yet at 100 per cent, although you couldn't expect because we didn't train very much.
"The team has never played together in this formation, but there were still a few situations that we played out well, where the last pass was missing.
"We scored two nice goals and kept a clean sheet, which was a focus for us this week."