However, Klopp stressed that it is only the start of the campaign and insisted that his focus would switch to the next game against Crystal Palace almost immediately.
"You cannot wish for better. It was a fresh start from the first minute, everything looked like it should have been. It's a good day. It's only the start, and we know that, but for a start it was really good. We all know West Ham have a lot of quality, individual quality. In all other situations we were really concentrated defensively," he told Sky Sports News.
"It's a good game, now let's carry on. It's all good, but for the moment, it's no more. It's a nice moment, and we can enjoy it for two, three hours, and then prepare for Crystal Palace. We already today, with a few injuries, had to make really hard decisions. Alberto Moreno not in the squad, I have no explanation for that, apart from needing Clyney (Nathaniel Clyne) on the bench, or others on the bench.
"It's quite difficult to strengthen this squad, because this squad is good. They are used to the style of play, sometimes it needs a bit of time, I have no problem with that. Only the public and media could cause problems by questioning constantly why some aren't playing. We need everyone in that squad before the end of the season."
Klopp also claimed that his side do not deserve to be regarded as the only challengers to Manchester City in the Premier League title race this season.