The midfielder netted a late winner on Saturday as the Gunners started their Premier League campaign with a 2-1 victory over Crystal Palace.
Wenger now hopes that the Welshman can continue to be a threat in the final third for the rest of the season.
"It's important for us that he can score goals," the Frenchman told the club's official website. "It's a continuity of what he has delivered last season and that's good for us."
Ramsey scored 16 goals in all competitions for Arsenal during the 2013-14 campaign.