This latest set-back sees the Gunners slip to 10th place in the Premier League, with just five wins in their opening 15 games contributing to their poorest start to a campaign during Wenger's time at the club.
Despite the fact that the north London club have only picked up 12 of the last 30 points available, Wenger feels his team can still achieve, and played down any talk of him leaving Arsenal in mid-season when asked if he was considering resigning.
"Not at all. You make your assessment at the end of the season. I know we've got unrest everywhere. It's a good opportunity to stick together and show we're a strong club," he told the Daily Mail.
Asked if he was concerned about the club's relatively lowly position in the League table, Wenger retorted: "Of course. But I'm not as worried about the places. We need to get the quality of our game back.
"The quality of our game wasn't there. But I'm in this job to turn it round and I'm confident we will."
|PAPERING OVER THE CRACKS|
|5/4||Arsenal are 5/4 with bet365 to beat Olympiakos on Tuesday night|
And he acknowledged the growing discontent among Arsenal fans, around 1,000 of whom protested against the board before the Swansea match, while many more jeered the manager and team after they lost it.
"I can understand that," Wenger said of their frustration.
However, he declined to go into detail about any potential new arrivals in January.
"It's difficult to comment straight after a defeat like that but I can't say No. I believe the board are there for us to spend the money if we can find the players."
Next up for Arsenal is an away game against Olympiakos in the Champions League which they must win to stand a chance of topping their group, while West Brom are the next visitors to the Emirates in the Premier League.