The 2-1 win at Udinese on Wednesday set up a 3-1 aggregate victory in the Champions League play-off and meant the 2006 runners-up made the group stages for the 14th season in a row.
The achievement should aid the Londoners in trying to attract new recruits in the final days of the August transfer window as Wenger attempts to fill the void left by the loss of Cesc Fabregas and Samir Nasri to Barcelona and Manchester City.
"We work very hard [on signings]. I have said that many times, but we have many players out as well so I think we can be very positive as well," Wenger said in Udine.
"There may be signings but I cannot give you any names tonight. I cannot lie and say we sign somebody tomorrow."
Robin van Persie and Theo Walcott netted following Antonio Di Natale's opener while Arsenal goalkeeper Wojciech Szczesny made a stunning penalty save from the Italian.
"We live in a society where everybody has an opinion on everything. I'm like somebody who flies a plane for 30 years and I have to accept that somebody can come into the cockpit and thinks he can fly the plane better than I do," he said.
"But that's part of our job and we have to accept that. I just would like to say that the club is in overall a very strong position."
