The north London side will take on AC Milan in Italy on Thursday for a last-16 first-leg clash and Wenger is hoping his players can bounce back.
"Overall, I am happy with our spirit and the response we gave". When you're half knocked down and you have to face another opponent before you got up again.
"But at some stage, you have to respond with your pride and your desire that you have to quality to win the game and that's what we did".
Gennaro Gattuso's men fought hard in the second half but were comfortably kept at arm's length by the visitors, leaving them with a significant task to come at the Emirates Stadium next week.
"It makes me sad because guys like Thierry or Martin, I like them, I have a good relationship with them, but some of them take a sensationalist path and I don't like that", he said. They are sitting in 6th place in the Premier League table, 13 points behind 4th place Tottenham.
"Overall, it is important to win, but it is not qualification".
Let's see some of that togetherness and self-appreciation from Arsenal at the San Siro.
Ramsey deservedly doubled their lead on the stroke of half-time, collecting Mesut Ozil's piercing pass through the centre of Milan's defence before round keeper Gianluigi Donnarumma and tapping into an empty net.
Given Wenger's failures in Europe - he has never won a continental competition with Arsenal - it would be bleakly appropriate if a loss to Milan proved the beginning of the end.
Giacomo Bonaventura scooped a shot over when he should have done better, while Suso drilled a left-footed strike out for a throw-in.
Ozil has been directly involved in 100 goals in 189 appearances for Arsenal - 37 goals and 63 assists.
Kosovo worldwide Valon Berisha scored twice shortly after half-time to put Salzburg in control, the first from the penalty spot, and leave German giants Dortmund facing a surprise exit.
According to ESPN, the majority of the dressing room are not happy with the Frenchman and the club for letting Chile global Alexis Sanchez leave to join Manchester United in the January transfer window.
Former Arsenal defender Keown was full of praise for Ramsey after the Wales global helped the Gunners keep their Europa League and Champions League aspirations alive.