Mr Coote, 42, was heard in the video using derogatory terms on English football club Liverpool and its then coach, Klopp.
The achievement marks Slot’s first piece of silverware since succeeding Jürgen Klopp.
Mr Coote went viral in early November after a video captured him calling Liverpool ‘s’ and referring to Klopp as a ‘German c’.
Virgil van Dijk said he was proud of the team.
Despite Núñez hitting the woodwork from a penalty, Liverpool continued to dominate.
“I told the club already in November,” said Klopp, who disclosed his decision with Liverpool leading the Premier League.
In the second half, Liverpool improved, as Jürgen Klopp moved Núñez to the left side.
In the 74th minute, Liverpool regained the lead thanks to Curtis Jones.
Two title-chasers, Arsenal and Liverpool, shared points, playing a 1-1 draw in the English Premier League on Saturday at Anfield.
Salah added another goal in stoppage time to seal the victory for Liverpool.
