Arsenal are seen as Liverpool's biggest threat to their Premier League title.
Slot wrote in his match programme notes: "Arsenal are a side that we have a lot of respect for and which has shown its quality consistently over the last few seasons, and we expect nothing other than a difficult game against them today.
"We have already had two extremely tough games in the league this season, against Bournemouth and Newcastle, and so to come into this game with maximum points is a real positive for us, and can hopefully give us a lot of confidence moving forward.
"Of course, as always, there are areas we know we can improve in, but I think the mentality and the character that we have shown already is something we can be happy with.
"We certainly showed that mentality and character up at Newcastle on Monday night. I said after the game that I had only experienced an atmosphere and a game like that once before since I came to England, and that was Everton away last season.
"So many things happened, the fans were so loud and so there for the home team, and at times it felt like complete chaos – almost nothing to do with tactics or good football.
"So to stay strong in that situation, to fight and compete for every ball and then, in the end, to find the quality to go and win the game says a lot about our players, I think. We will play better games of football this season, I am sure, but we might not get many better victories, given the circumstances and the way the game panned out."