The Arsenal boss also touched on the problem of players grappling in the penalty box.
Arsene Wenger stated that Twitter is 'a concern', just days after former Manchester United and England star Rio Ferdinand received a three-match ban and £25,000 fine for a tweet to a football fan.
Arsenal have had few problems with the social network side of things from players since it appeared in the last ten years. Jack Wilshere has been one of the club's players that has at times been investigated by the FA, but no Gunner has been fined or banned as a result of their behaviour online.
Nevertheless, given that a player has experienced as Ferdinand has been punished by the Football Association this week, Wenger was quick to acknowledge that keeping an eye on what players tweet is a concern for professional clubs.
"We are concerned about Twitter and things going out of the club that should not go out," the Frenchman said in his Friday press conference.
"It is important to keep that under control. In the modern world that is very difficult but we try."
It wasn't the only controversial topic Wenger touched on in his media meeting, with the former Monaco boss also addressing the problem of players excessively grappling in the penalty box, often to the detriment of forwards.
Here Wenger urged a little caution considering how difficult it is for referees to see what is often apparent from the many camera angles television offers.
"Zero tolerance is certainly possible," he reasoned. "But you want the obvious ones you see on television to be punished, because the television provides an example of what referees can tolerate and not tolerate.
"On the other hand, it is not easy for them to see everything and it is not always easy to see if the defender grabs the striker or is it the other way round? To analyse that at normal pace is not easy."