The Frenchman insists the blame for his side's loss at the Emirates Stadium cannot be directed at a lack of signings this summer
Arsenal has already failed in moves for Gonzalo Higuain, who moved to Napoli in July, and Luiz Gustavo, who secured a switch from Bayern Munich to Wolfsburg earlier this week. The club also looks set to lose out on Luis Suarez as Liverpool continues to reiterate its no-sale stance.
So far, Wenger has managed to sign 20-year-old forward Yaya Sanogo on a free transfer from Auxerre, but the Arsenal boss is adamant that his side's season-opening defeat to Villa cannot be blamed on the failure to bolster his squad over the summer.
"Could we have won the game with the players who were on the pitch today? That for me is the real question and I say yes," Wenger told the club's official website.
"If we do not spend money it's because we don't find the players. I'm not the only one to work on that, we are a team who works on that and we are ready to buy the players if we find that the players are good enough for us.
"We want our fans to be happy and when you don't achieve that you feel absolutely sorry and really disappointed. My job is to make the fans happy but we haven't lost the game because of [not signing players].
"We are on the market, everybody knows that we want to buy players but until we buy players we have to win football games. It's not an excuse not to have bought players to lose the game today.
"People always say 'buy players, buy players, buy players' when you tell them 'tell me who' it becomes much more problematic. We take our work seriously and believe me we analyze every single player in the world."
The Frenchman also lamented his growing injury list, with Bacary Sagna, Alex Oxlade-Chamberlain and Kieran Gibbs all picking up knocks during the game.
Arsenal now faces a trip to Turkey on Wednesday where it will face Fenerbahce in the first leg of its Champions League playoff tie.
"Not only do we lose a game we have many injuries. It's unbelievable how many people are on the treatment table and we have to recover some players for Wednesday night," he added.