The Gunners opened the scoring through Granit Xhaka's first-half strike and added a second before the hour via Alexandre Lacazette.
Relive how the 90 minutes of action unfolded with Sports Mole's live text coverage below.
STARTING XI: Leno; Sokratis, Koscielny, Mustafi; Maitland-Niles, Guendouzi, Xhaka, Kolasinac; Iwobi, Lacazette, Aubameyang
SUBS: Cech, Elneny, Ramsey, Torreira, Lichtsteiner, Nketiah, Saka
STARTING XI: Rico; Odoi, Le Marchand, Ream; Christie, Cairney, Cisse, Bryan; Schurrle, Mitrovic, Sessegnon
SUBS: Bettinelli, Johansen, Ayite, Vietto, Fosu-Mensah, Seri, Kamara
Unai Emery: "We need to keep the balance in the middle, be serious and continue on Tuesday with a big match at the Emirates. We need to show our supporters there we are standing up after the result [against Liverpool]."
Claudio Ranieri: "Emery is working well and it will be another tough match for us. I've come across him before. Maybe I played against him when he was at Paris Saint-Germain. He's an intelligent and experienced coach."
ARSENAL SUBS: Cech, Elneny, Ramsey, Torreira, Lichtsteiner, Nketiah, Saka
FULHAM SUBS: Bettinelli, Johansen, Ayite, Vietto, Fosu-Mensah, Seri, Kamara