Chelsea advanced to second place in the Premier League with a 4-0 win over Burnley on Sunday to keep their unbeaten record.
The Londoners are two points behind leaders Liverpool, one point ahead of Manchester City, who host Tottenham Hotspur on Monday.
The coach's team, Maurizio Sari, was unaffected by the absence of Eden Hazard, with Willian, who took part in the left-hand side instead of the Belgian, scored a goal and fired at Al Qaim.
The Spanish striker, Alvaro Morata, was given the lead in the middle of the first half by Chelsea, who could have scored 3 times.
England midfielder Ross Barclay made the goal and added the second goal with a shot from outside the box at the start of the second half.
Brazilian Willyan shoved goalkeeper Joe Hart, 5 minutes later, and substitute substitute Ruben Luftus-Chek completed the injury time.
In another match, Luca Milivovic was awarded a 2-2 draw at Crystal Palace with a brilliant home side.
Milosevic, who lost a penalty in the defeat to Everton last week, took a successful kick at the end of the first half after Shkodran Mostafa intervened against Sheikh Kouyati.
This is Palas's first goal at home in five league games this season.
Granit Chaka equalized a free kick in the second half, before Pierre-Emeric Ubaymiang boosted the lead by sending a controversial goal five minutes later.
Milivojevic made another successful penalty 6 minutes from the end, giving Palas a draw, and Roy Hodgson's team progressing to 14th.
Arsenal continued in fourth place, but ended their series of victories in 11 consecutive games in all competitions.
