Wenger had been under fire following a lack of summer spending and a nightmare opening match of the new Barclays Premier League season, losing 3-1 at home to Aston Villa.
However, there was no hangover on Wednesday evening as the Gunners coasted to victory at the Sukru Saracoglu Stadium with second-half goals from Kieran Gibbs, Aaron Ramsey and Olivier Giroud.
"It was of course the environment, we faced was difficult but the only way to do it is to go out there and play football like you want to play," said Wenger, who confirmed the club were continuing to work on transfers other than the Liverpool striker after a failed £40million+£1 bid.
"This team has shown a lot of mental strength. I told you that you had forgotten that this team has lost only one game since March under very, very special circumstance.
"I believe we played in a very, very heated atmosphere against a good team, but we had a proactive attitude from the first minute on, and that was certainly was very important.
"We did not come in shaking, but came in resolute and determined and with a desire to take the game to them and overall we were in control."
The win, though, came at a cost as defender Laurent Koscielny was forced off with a cut head following a high boot from Pierre Webo, which left the France international needing hospital treatment.
Wenger was less than impressed by the challenge. He said: "Laurent Koscielny has opened very deeply the skull and we had to take him to hospital.
"I was not happy with the kick because I feel always that you can ease a bit off. Only the player in the end will know what he did."
Source: PA
Source: PA