The Switzerland international completed a move to the Merseyside outfit in a £13.5m deal from Championship side Stoke City in the summer transfer window.
Shaqiri scored eight times in 38 games in the Premier League last season but the pint-sized playmaker failed to keep the Potters in the English top flight.
The 27-year-old had to wait until 26 September when Shaqiri started Liverpool FC’s 2-1 loss to Chelsea FC in the Carabao Cup third round.
The Swiss attacking midfielder made assists in Liverpool FC’s victories over Huddersfield Town and Red Star Belgrade to underline his creativity.
Shaqiri scored his first Reds goal from the bench in a 4-1 victory over promoted side Cardiff City at Anfield to help Liverpool FC secure three points.
Klopp opted to start his summer signing for the visit of Fulham on Sunday after Liverpool FC were held to a 1-1 draw with Arsenal at the start of November.
And Shaqiri repaid his manager’s faith with their second goal in a 2-0 win against Fulham to hoist Liverpool FC into second place in the table.
Speaking to Liverpool FC’s website about the attacking midfielder’s start to his Liverpool FC career, Klopp said:
“Yeah, or even more. What can I say?
“He’s just a fantastic boy on top, that’s really good, and he knows that he has so much potential still to improve.
“But of course he’s the guy for decisive moments, that’s how it is, and we have to make sure that it stays like this. Another really good performance and a fantastic goal on top, so it’s really cool.”
Shaqiri 15 goals in 92 games for Stoke during his three-season spell with the Potters in the Premier League.
The former Basel midfielder has a rich pedigree in the Champions League, having won the competition in 2013.
Shaqiri was part of the Bayern Munich squad that beat Klopp’s Borussia Dortmund side in the Champions League final at Wembley.
Liverpool FC make the trip to Watford in their next Premier League game at Vicarage Road on Saturday 24 November.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news