Klopp has already spent heavily this summer, bringing in four new players for just short of £180 million, and many fans and pundits alike are predicting that this season could finally be their year.
James Milner and Georginio Wijnaldum netted early goals for Liverpool before Mohamed Salah, Daniel Sturridge and Alberto Moreno added to the scoreline after half-time.
"He's quite a good footballer - probably as good as the goalie he is!"
Speaking to the Liverpool Echo, Pearce said: "Klopp has shown throughout his time at Liverpool that if he can't get exactly what he wants he's prepared to wait rather than just chase an inferior alternative for the sake of it". "An all-round good performance for the first game, especially because I think everyone can imagine what happens inside a human being in a situation like that, playing the first game after all the things that were written about it and all that stuff".
"I don't know in the moment how many really good goalkeepers Ireland has, but having one more is never a big mistake".
The German manager was asked about potential activity in the final few days of the window, which is due to shut at 5pm on Thursday, following a 5-0 victory over Napoli in Dublin.
Milner, 32, left the field in the second half after a collision with Portuguese defender Mario Rui.
"He's in the dressing room so I have to see him first before I can say more".