Szczesny believes that players such as Kallstrom can play a big part in seeing Arsenal clinch the final Champions League spot come the end of the season.
"Kim played 90 minutes and he is a very experienced player," the Pole told the club's official website. "Especially when we under pressure in the second half, he did really well.
"Hopefully the experience of fighting and having good run-ins over the last couple of seasons can help us get through again."
Arsenal continue their bid for Champions League qualification on Sunday when they travel to Hull City.