The French defender claims several Gunners players are unhappy following the departure of Thierry Henry to Barcelona and insists Wenger's policy of buying young players will not deliver trophies.
And he revealed he plans to hold talks with the board when he returns for pre-season training to discuss his own future after becoming frustrated at Arsenal's failure to compete with title contenders Manchester United, Chelsea and Liverpool.
He told his own website: "What is sure, it is that several players are questioning the club's future.
"Around us, all the teams are recruiting but what is planned to compensate for the departure of Titi Henry?
"I am not at Arsenal to play for third place. It is necessary to recruit players of reputation because the young players have many qualities but the season is very long.
"The young players are thirsty for victories but Arsenal must obtain results to gain titles. If not, one will have to change policy and do the same as the other teams: recruit with more means.
"I will have a discussion with Arsene Wenger and board members to know the objectives of the club this season and what they wish to set up to build an even more competitive team."
And despite only joining Arsenal from Chelsea last season, Gallas indicated he may seek a move if Wenger cannot convince him the club are moving forward.
He added: "Today I am at Arsenal but I do not know what can occur tomorrow.
"All happens so quickly in the world of football."