The Frenchman, who guided the Gunners to FA Cup glory last season, has been linked with moves for a number of Europe's elite strikers.
Real Madrid hitman Karim Benzema is understood to be high up on the Frenchman's shopping list and it has been suggested he is willing to shell out £35m to acquire the 27-year-old's services.
However, the 65-year-old has poured cold water on a move for the former Lyon star - who has allegedly courted interest from Manchester United - by hinting that he is happy with the forwards he has at his disposal.
"When you score six goals you don't have a desperate need (for a striker)," Wenger said.
"We scored four goals in the FA Cup final, we create chances and score goals. We are open-minded, everybody is in the market and many clubs have big, big money.
"It is not mathematics, there is a logic in the game and that means that everyone is playing for each other, every game is different but I still say that we are open-minded but we are not in desperate need.
We did not have (Danny) Welbeck or (Alexis) Sanchez available, they are big players.
"Many players scored goals and it is in the continuity of what we did at the end of the season and in pre-season as well. We have shown again that we can score goals, that is what people expect from us."
