The Welsh international has scored just two Premier League goals this season from 29 outings.
However, Wenger has backed the midfielder to be more clinical in front of goal as he gains more experience.
"He always looks like he will score but doesn't score at the moment," Wenger told the club's official website. "Once that will be done I think he will be more relaxed in front of goal and score more.
"He has played many games this year and for a first season that is tremendous."
Ramsey joined the Gunners in 2008 from Cardiff City.