Players were given a chance to breathe for a bit until Leicester struck again 20 minutes later.
"We kept going and the spirit of the team was absolutely outstanding", Wenger said.
But if Wenger plays two strikers then Giroud, with his physical presence, would be a really good complement to Lacazette, a lethal goalscorer that loves getting the ball inside the box.
Two goals in the first 10 minutes and two in the last 10 - if that doesn't rekindle the excitement of Premier League football, not much can.
"Lacazette is simple - in every game he's stronger". But I don't want him to go and in the end he chose to stay.
'Previously in the Premier League we've not got off to the best of starts, so it meant a lot for us to get a good start and get three points today.
He added: "I know how important Giroud is, not only as a player but in the group as well". You can not keep the strikers happy when they don't play. "We had 27 attempts and they had three on target and three goals, but it's something we have to work on".
"It is a relief and I believe as well a reminder to the players that they have hurdles on the way and that we can get round it, like tonight so that is quite positive".
"I felt that to lose tonight would have been bad for us because we had such good preparation and to sit there in the morning and think we had lost at home would have been awful", he said.
"The first goal was from a short corner and we were not focused enough".
The Gunners' performance will have installed confidence in the team as they won their Premier League opening fixture for the fourth time in the past five years.