The duo missed Wednesday's in-vain away victory over Bayern Munich and remain sidelined for Saturday's trip to South Wales, along with long-term absentee Jack Wilshere
The pair could only watch as their side pulled off a surprise 2-0 away win over Bayern Munich on Wednesday night and will have to do the same again at the Liberty Stadium.
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"Sagna and Podolski will not be back," the Frenchman told the club's official website.
"And Wilshere, as we know, is out as well. So the only one who will come back is [Nacho] Monreal because he was not qualified for the Champions League."
Kieran Gibbs was in the starting line-up at the Allianz Arena but may have to sit out on Saturday after aggravating a thigh injury.
"I think he will be out on Saturday," Wenger explained. "He had a little reaction on his thigh. He is not injured but we have to be cautious with it. He might be out.
"Apart from that everyone who played [at Bayern] should be OK. There are bumps and bruises after a game of that intensity but that should be it."