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Liverpool entered the match with a slender one-goal advantage, but could not grab another at Anfield and eventually went out on penalties.
Ousmane Dembele got the only goal of the second leg by finishing from close range, but after 120 minutes at home, Liverpool could not find a way past Gianluigi Donnarumma.
It feels a bit unfair to go out in this round already if you were top of the table and face a team like PSG.
I don't think the second half, apart from the last five minutes, when they threatened us once or twice.
When you put in so much effort that's sometimes difficult and in the end it comes down to penalties and we, as Dutch know how to lose [on penalties].
"It had everything you'd like to see from a football game.
From a Liverpool perspective, you'd at least like to have a draw after 90 minutes but it came down to penalties."
Slot's opposite number Luis Enrique agreed with the Dutchman that neither teams deserved to exit the competition at this stage, adding: "Both of the teams deserve to go to the next phase.
"They play better than us here, but I think my team at Anfield, in a special stadium showed great personality and character.
I think both teams were great.
"It is not about consistency you have to be great in specific moments.