The 22-year-old's season was brought into focus after he wasn't picked for England's recent World Cup qualifiers.
Asked if Alexander-Arnold 'raised his game' at the weekend, Klopp said: "Yes, [that's] what you always expect from each player.
"It's a little bit of a problem for me to answer your question because it always looks like he didn't play well before. We didn't play a brilliant season, we know that, so far. Trent had a difficult start and then from a specific moment played a really good season.
"Did he play exactly as good as he could have played or played in the past? I don't even know 100 per cent. But then it started this discussion [that] he 'raises his game'. He had assists for us before that.
"Yes, it's a special situation, he reacted really well and that's important. But it's not that he was in a dark place and had to lift himself out of that, he just didn't get selected for England, that was all."
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