The Gunners ended a three-game losing run before the international break with a 3-0 victory over Watford in north London.
Arsenal are in sixth place in the Premier League table and 13 points adrift of Tottenham Hotspur in pursuit of a Champions League spot.
Arsene Wenger’s side have endured a difficult start to 2018 following a run of four losses in their last six games in the Premier League.
The north London outfit can still qualify for the Champions League if Arsenal win the Europa League this season.
Arsenal will take on Russian side CSKA Moscow in the quarter-finals following a 4-1 win against Serie A giants AC Milan in the round of 16.
Former Liverpool FC defender Lawrenson is backing Arsenal to beat Stoke at The Emirates on Sunday afternoon.
“Against the top teams, or away from home, there are question marks over Arsenal, but at home against this sort of opposition I would back them all day long,” Lawrenson told BBC Sport.
“Stoke have only won once on the road all season, and only West Brom have picked up fewer points on their travels.
“I think Arsene Wenger’s Gunners side will win comfortably.”
Arsenal missed out on a Champions League spot for the first time under Arsene Wenger last season after the Gunners finished behind Liverpool FC in fifth spot.
Wenger’s side have won the FA Cup in three of the last four seasons but haven’t lifted the Premier League since 2004.
The Gunners signed Pierre-Emerick Aubameyang and Henrikh Mkhitaryan in the January transfer window.
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