Arsenal started Arsene Wenger's farewell period with the club by beating West Ham 4-1 on Sunday.
Three goals in the final eight minutes gave Wenger a win in his first game since announcing on Friday he will step down at the end of the season.
Nacho Monreal headed Arsenal in front early in the second half only for Marko Arnautovic to equalize.
Aaron Ramsey put the Gunners back on top in the 82nd minute and Alexandre Lacazette's late brace closed things out.
In the day's other games, relegation-threatened Stoke City drew 1-1 with Burnley and Manchester City play for the first time since being crowned champions when they host Swansea City.
