The Gunners are preparing for their first campaign under the Spanish manager after he was brought in as Arsene Wenger’s successor at the end of last season.
Wenger opted to step down after almost 22 years in charge following a trophyless campaign and a sixth-placed finish in the table.
Arsenal were busy in the summer transfer window as they brought in five new players ahead of Emery’s first season at the west London club.
The Gunners will at least be aiming to be one of the main contenders for a top-four finish next season after they ended up sixth and missed out on Champions League qualification last term.
And Wright seems confident that the north London side will be able to break back into the top four next season.
Speaking in an interview with BBC Sport, Wright said: “I have faith in Arsenal finishing fourth because I think their attacking players will cause all the other teams problems – but I am still worried about the defensive side of things and the way the players start the season under Unai Emery, and grasp what he wants from them, is going to be so crucial.”
Arsenal have not won the Premier League title since their famous unbeaten triumph back in the 2003-04 campaign.
The north London side have struggled to maintain serious title challenges in recent years since their move from Highbury to The Emirates.
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