Wales captain Ramsey has been struggling with a hamstring strain.
Wenger hinted he would like to continue treating his match-winner with kid gloves but was delighted to have him on the pitch when the key chance came.
"I do not want to overplay him," said Wenger.
"I've seen in my mind that he has been injured for a year and that Wilshere played a lot last year (and is now injured). I try to be a bit more cautious when I can.
"But it was a great finish. When you see Aaron Ramsey in front of goal you know you have a good chance to score. He is a goalscorer."