Wenger used his time working as a media pundit in Brazil for French television by helping to put the final touches to deals which brought Chile forward Alexis Sanchez and France right-back Mathieu Debuchy to the Emirates Stadium.
More new additions are expected before the Gunners return to Wembley to tackle champions Manchester City on August 10, with Arsenal understood to be close to a £3million deal for Colombia goalkeeper David Ospina to join from Nice.
A relieved Wenger watched on as his team ended a barren run of nine years without a trophy by beating Hull City 3-2 in May and he is now targeting more success.
"We have the ambition, we have the desire, we should have the confidence from last season - so we have a good basis. It's now up to us to make sure we have the right attitude and the right hunger to go for more," Wenger said on the club's official website.
"In the Premier League (last season) we were not far away, we got 79 points and with what happened to us with injuries, I feel that we did quite well.
"On top of that we won the FA Cup so I think it's a good platform to go for more.
"But in the Premier League everybody tries to improve the team and it's very difficult to predict what will happen this year.
"What we can be sure about and what we can make certain of is that we are ready for a fight and we are better than last season - that's our target."
Wenger is delighted to have added Sanchez to his squad, saying. "He can play through the middle, he can play on both flanks and he has the qualities that I think are needed in England.
"He is efficient, the fact that he is good off the ball, runs at people with the ball and he's a very versatile striker.
"That is why he is a major signing for us [and] that's why we spend a lot of money on him - he has the quality to be efficient everywhere he plays."
England forward Theo Walcott, meanwhile, is "progressing well" on his recovery from the serious knee injury he suffered in January which ruled him out of the World Cup.
Wenger said: "Theo has worked very hard during the summer and we expect him to be back in full training at the end of August.
"Once he's back in full training, it (his return) can be very quick. Theo has a good basis, which is what he's working on now."