Van Dijk is the only defender on the shortlist, while no goalkeeper was nominated.
The English side beat the Portuguese giants in a penalty shootout after playing 1-1 on aggregate.
A few minutes before halftime, Saka, from the penalty spot, doubled Arsenal’s lead before scoring his second in the game.
In the second half, Liverpool improved, as Jürgen Klopp moved Núñez to the left side.
Bayern Munich, with 13 points, have already been confirmed as the runaway winners of Group A.
Mike Arteta’s side returned to winning after a poor draw against Fulham last week.
Victory would have lifted them off the foot of the table and taken them to within a point of the safety zone and, more importantly, given the squad a massive boost of confidence.
Arsenal’s chance of winning the title, according to data company Gracenote, was 55 per cent on March 28 but had dropped to 32 per cent before kickoff on Friday.
Mitrovic capitalised on Gabriel’s mistake, firing in Fulham’s first goal in the 54th minute.
With Saturday’s win, Arsenal are the first team to win their first three games this season.
