Wenger accepts the arrivals of South Korea captain Park Chu-young, who is hoping for late visa clearance to play against Swansea on Saturday, Mikel Arteta, Yossi Benayoun, as well as defensive duo Per Mertesacker and Andre Santos will have displayed the club's determination to the likes of captain Robin van Persie.
"They could be a little bit worried about our ambition because they see big players moving out and not big players coming in," Wenger said.
"If you look around you when you are a big player, the confidence you gain is as well by when you look who is around you. That is important for a football player."
Wenger is confident he has added the necessary quality and experience for the battles ahead.
He said: "I think we kept our head cool.
"We didn't do anything stupid. What we did made sense on the financial side, the quality of the player and the experience we needed.
"It is now down to me and to the players to show that I made the right decisions."