The Champions League victory was achieved with the backdrop of the Mohamed Salah controversy, with the Egypt striker left in Liverpool after Saturday's outburst.
Dominik Szoboszlai struck an 88th minute winning penalty, earned by Florian Wirtz, to secure an important three points.
Slot said afterwards: "All I could ask for, I think. The fourth game in 10 days, that's not what you see a lot in football. Three in seven is already a lot, let alone four in 10. With only 13 outfield players available with Premier League or Champions League experience.
"After the blow we had conceding the 3-3 in extra time against Leeds, where we deserved so much more. Then to go into this stadium against such a strong Inter Milan team, you couldn't have asked for more if you look at our performance.
"Again, we hardly gave away a chance. The biggest one they had was I think just before half-time, after we had to again - the players, and me included and our fans - accept a referee decision that could have gone another way as well. But that has been the story of our season, as some other things. So, great mentality.
"Second half, we got better and better and better. We were close to scoring already with Conor Bradley and Hugo Ekitike. And in the end we got a penalty which if that is a penalty, we could have had 10 this season. That was a penalty that I don't think in the Premier League would have been given, but again, I think the first goal was more clear a goal than it was wrong that the penalty was given."
Asked if Liverpool were owed such a VAR call for their penalty given how the season has run so far, Slot hinted at agreement.
He also said: "It shouldn't be like that, of course. But I prefer to score in the 86th minute the 1-0 than in the 38th minute the 1-0. But it shouldn't be like that. I think so many times this season referee decisions have gone against us, either in the Premier League or Champions League.
"I think this weekend I saw a handball at Brighton against West Ham in the lead-up to a goal and that was allowed. Probably people will tell me, 'No, there was something different between it.' But there's always something that's different, like the goal we scored against (Manchester) City. So, yeah, another time where the players showed great mentality and this time we could win it instead of ending it with a draw."