Austria won the Nations League game in Croatia.
During his time as Manchester United's interim boss, he missed out on a chance to qualify for the playoffs.
He started his Austria tenure with a bang.
There were three goals scored in the win.
The first goal of the Rangnick era was scored four minutes before the break by former West ham forward Arnautovic.
The first goal came from 12 yards after the break and the second came from 25 yards three minutes later.
By the time Luka Modric came on, it was too late.
It was the perfect start for Rangnick, who announced last Sunday that his plans to stay on as a consultant at Old Manchester would be scrapped so he could focus on Austria.
They were beaten by Wales in the play-off semi-finals of the World Cup, so he has to take them forward.
His first match was nothing short of amazing.
This is the first time that the 63-year-old has managed an international side.
The Nations League holders France were defeated by the Danes.