The Gunners made a winning start to the 2017-18 season thanks to a 4-3 victory over 2016 champions Leicester City in their Premier League opener at the Emirates Stadium.
Arsenal substitutes Wales international Aaron Ramsey and French striker Olivier Giroud in the final five minutes to overturn Leicester’s lead in north London.
Stoke made a disappointing start to the new Premier League campaign with a 1-0 loss to Merseyside outfit Everton at Goodison Park last weekend.
Arsenal were 4-1 winners against Stoke at The Britannia back in May to win their first Premier League game at the ground since 2010.
Former Liverpool defender Lawrenson is backing the north London side to ease to a comfortable win against Stoke in their second Premier League game of the 2017-18 campaign.
“Arsenal only just got through their topsy-turvy game against Leicester and are not always great away from home,” Lawrenson told BBC Sport.
“They have also struggled at Stoke in the past – but they won 4-1 there in May and I think the Gunners will come out on top again this time too.”
Arsenal finished in fifth place in the Premier League table last season to miss out on a place in the Champions League.
The Gunners have signed Bosnian defender Sead Kolasinac in a free transfer from Bundesliga outfit Schalke 04.
Arsenal spent a club-record £52m fee on Lyon striker Alexandre Lacazette earlier in the summer transfer window.
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