The desire of the fans for manager Wenger to end years of high-profile exits by making expensive close-season signings grew when defender Kolo Toure and striker Emmanuel Adebayor moved to Manchester City.
However, the Frenchman's only signing has been Ajax Amsterdam centre back Thomas Vermaelen and he will instead put his faith in Czech Republic midfielder Rosicky and Croatia striker Eduardo, who almost represent new players after injury-ravaged spells.
A Champions League semi-final appearance last season was testament to the talent Wenger's teenage army possess but a fourth-placed Premier League finish indicates consistency remains an obstacle.
Rosicky's return alongside captain Cesc Fabregas, Samir Nasri and Andrei Arshavin will increase creativity in the midfield and the side will be helped further by having a classy partnership in Eduardo and Robin van Persie up front.
"I don't see why we should be scared ... I see the offensive potential we have," Rosicky told the club's website.
"Of course we know we have to do better, we are not blind to that, but we can see it's positive."
Arsenal's last league title came in 2004 after an incredible unbeaten campaign. However, none of that squad remain at the club.
"Jack reminds me a bit of (Wayne) Rooney when he started, in his belief and his positive attitude to go forwards," said Wenger.
"He has benefited a lot from special treatment," added Wenger. "The only problem in England, knowing the impatience of the people, is it will be difficult to keep the right pace in his progress."
Asked what would be an acceptable level of success this season, Wenger said: "To win the league championship and to win the Champions League, anything else is a disaster according to our fans."
