Shaqiri, 26, completed a £13.5m (R250m) deal from relegated Stoke City to the Reds after impressing with Switzerland at the 2018 FIFA World Cup.
And Klopp admits he had to withhold the stocky forward from coming in early to training without a pre-season break after they activated his release clause with the Potters.
However, just four days since joining up with his new side, the Swiss superstar produced an inspiring debut display with a goal and an assist.
"That's not normal after four days in the club - adapting that well to the style of play,"he said after the game.
"We wanted to help him a little bit with the position so that it's not too complicated, gave him a lot of freedom, offensively playing natural, plus offering runs in behind, which is what he did, especially around the Sturridge goal.
"For Shaq, in the moment he signed he wanted to stay immediately at Liverpool and train with us. I think it was a week after he finished the World Cup, so I said: 'No, no, no. Go!'
"He came back a few days ago and he was really excited. For him it was a very good moment in his career, having already had a real experience at Bayern, at Stoke, at Inter."