Leno is starting with us, he's working very well and played well in pre-season but he can wait for his moment.
"We want the competitiveness from the goalkeepers and also every player in the squad", Emery told post-match conference.
"This 90 minutes [showed] the spirit I want [but] we need to improve".
The England forward was outstanding despite having been back in training for less than a week after his exertions in Russian Federation and scored the opening goal as Arsenal, under new management, were swept aside at the Emirates.
While Arsenal may not see the full effects of their new approach, it is expected that the north London side will at least offer more threat, tenacity and aggression against City than they did in big games under Wenger in recent years.
"I think every player and every coach and every supporter also is excited to start Sunday and to watch the match".
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Pep Guardiola has underlined his desire to keep Raheem Sterling at Manchester City, despite talks over a new contract remaining on hold, after the England forward excelled to ruin Unai Emery's first Premier League game in charge of Arsenal.
One of the quartet will take the armband in Sunday's Premier League opener against Manchester City, given Koscielny remains sidelined with the ankle injury that ruled him out of France's triumphant World Cup campaign.
Emery was unable to shed any light on an injury to Ainsley Maitland-Niles - who was replaced in the first half - and hopes Nacho Monreal can return to training to give him an option at left-back.
"Maybe there will be more leaders in the team to show this captaincy, not just in the captains' group". In an ideal world both would start but I'm not sure we can afford that luxury against a team like Man City. But these five players are in this possibility to be the captain'.
"Not only the players in the captain's group".