Both sides showed why there were in such good form, with Jurgen Klopp's side controlling play but Arsenal remaining compact and solid at the back.
Sadio Mane nearly put the visitors in front just before halftime by latching onto a defence splitting pass by Trent Alexander Arnold, but the Senegalese winger fired his effort way over the bar.
The second half picked up right where the first left off, with Mane having a goal disallowed for Liverpool, and Martin Odegaard coming close for the Gunners.
It was the visitors who broke the deadlock through Jota, who took Thiago's pass in his stride before smashing the ball past Ramsdale at his near post to score his forth goal against Arsenal in all competitions this season.
Despite the game being even in the first half, Liverpool were in control for the first 15 minutes of the second half, and that dominance paid off when substitute Firmino doubled the Red's lead with a glancing finish from Andy Robertson's cross.
Martinelli was inches away from scoring a late consolation goal for Mikel Arteta's side but the Brazilian's shot curled just past the post in what was Arsenal's last chance of the game.