A possible move to Real Madrid has been regularly touted with Spanish daily Marca this week claiming Alexander-Arnold has become their 'priority' target.
But Slot is adamant that the homegrown full-back is not the type of player to have his head turned despite the impasse over his long-term Anfield future.
He said: "I think you underestimate our players.
"These players are used to being linked with all the top clubs on a daily basis, if they have contracts or not.
"If you think they're disturbed by this interest, then I think you don't do justice to how strong they are mentally and what they are used to.
"This is part of our job. I was at Feyenoord last year and they linked me with many clubs and before that and before that. This is part of this world we are living in.
"You just focus on what you have to do. Maybe if you're 17 or 18 years of age, that could be difficult for you.
"But Trent has won the league, has won the Champions League, Virgil and Mo the same. I don't think that is a problem for them to perform.
"That's also what we see at the moment because they're playing really well."