The Egyptian forward claimed earlier this month that he had been "thrown under the bus" after being left out of the team for the draw with Leeds but Slot admits that the differences have been set aside now the winger has headed off to represent his country at the Africa Cup of Nations.
Slot - who brought Salah back into the fold during last weekend's match against Brighton - said: "I said last week, actions speak louder than words.
"We moved on. He was in the squad and was the first substitution I made. Now he's got AFCON and will play some big games so it's only fair that all focus is on them [Egypt]."
Liverpool have been inconsistent in the defence of their Premier League crown this season but Slot hopes they can extend their five-match unbeaten run when they visit Tottenham on Saturday (20.12.25).
He said: "I hope we will all see this in results, but I think we are progressing.
"I had to play players who weren't fit too many times this season. I'm not talking only about the new players.
"I see players progressing in terms of their fitness and, as a result of that, their performances. I think we are definitely making progress.
"Winning always gives a good feeling and a spirit after so many changes in the summer. The league table is so close together that winning or losing matters a lot.
"The main focus for us is to build on the last five games. We were solid defensively. That's a good base, combined with the players getting more and more ready to compete at Premier League intensity. I think there is more coming from us."