The match, which took place at the Emirates stadium in London, ended with a 3-1 victory for Arsenal.
Goals for the hosts are scored by Alexandre Lacazetta, Granit Jaki and Bukayo Saki.
The only goal of the guests on account of Tammy Abraham.
Arsenal are in 14th place with 17 points.
Chelsea are in sixth position with 25 points.
Earlier, Manchester United missed a win over Leicester due to an own goal.