Liverpool had to come from behind to beat Championship leaders Leicester 3-1 after Kasey McAteer silenced Anfield just three minutes in.
Szoboszlai’s rocket from the edge of the D was his second goal since his £60 million summer switch from RB Leipzig and another marker into the impressive start the Hungarian has made on Merseyside.
“I don’t have to tell him to shoot, he knows that better than me,” Klopp said.
“He has a pretty good skill. The next [shot] he had which was slightly over was another grenade as well. It was a super goal.”
The ease with which Szoboszlai has made himself at home at Anfield has been key to the strong start Liverpool, second in the Premier League, have made in all competitions as they look to have solved many of the midfield problems that dogged them last season.
Asked if Szoboszlai had settled quicker than expected, Klopp said: “It’s so long ago that he’s here that I’ve forgotten what I thought but since the first minute of training it was pretty impressive.
“That’s how it is. He’s a top bloke, a top guy and it’s easy to step into the team and the dressing room and stuff like this.
“He’s a very naturally confident boy and that helps but it’s super hard work as well and that’s what you see today.”
The night started badly for Liverpool when Konstantinos Tsimikas’ early free-kick was cleared and the Greece defender was then left on the deck by Marc Albrighton as Leicester raced away to score.
But Klopp said what stood out to him was the way his players responded.
“The headline is that we are 1-0 down but it was a completely different goal – I’m not sure if it was a foul or not but we could have defended a bit better in that first moment, and then it’s a good pass and a good finish,” he said.
“Then it is all about the reaction. Our players responded well.
“We created massive chances that were difficult to miss, but we did, and the goalkeeper saved some and we hit the crossbar.
“How [we didn’t score] I have no clue but at half-time it was clear we were going to make sure we didn’t get frustrated.
“We were not really chasing the game but playing the game and that’s what the boys did. It was a top performance.”
It was only a second defeat of the season for Leicester as they chase an instant return to the top flight and Enzo Maresca said the performance was more important than the result.
“I’m very, very proud of the players because to come to this stadium against this opponent and to continue playing in the way we want to play I think they showed they were very brave,” he said.
“Even after 45 minutes when we were 1-0 up I was not focused on the result, it’s always important of course, but I told them before the game the focus for us is to go there and continue to play in the way we want.”