The France international centre-back came off at half-time during the Gunners' 3-0 defeat of Manchester City with an Achilles knock but is in line to start the Premier League
The France international was withdrawn at half-time during Sunday's 3-0 Community Shield victory against Manchester City, replaced by Nacho Monreal, but Wenger is satisfied that the issue is not serious.
"Koscielny had a knock on his Achilles but he should be available for Saturday," he told reporters.
New signing Calum Chambers, a £16 million arrival, partnered Koscielny at Wembley and is expected to do so again on Saturday.
Wenger also confirmed that goalkeeper David Ospina, a summer purchase from Nice, is "two or three weeks away" from being in a position to make his debut.
"Ospina is two or three weeks away," the Frenchman added. "He has a thigh strain from the Brazil v Colombia game [at the World Cup."
Wenger also confirmed the continued absences of Ryo Miyaichi, Theo Walcott, Serge Gnabry and Abou Diaby, though noting that Miyaichi is "very close" and that Diaby has returned to full training.