To my knowledge he hasn't outright taken a stand of removing "don't ask; don't tell," but he has supported the review.
Note... Meet the Press, February 21, 2010:
MR. GREGORY: Do you think soldiers on the ground in the field care one way or the other if their comrades in arms are gay or lesbian?And in his Senate ASC testimony on March 16, 2010, he said he had an 8-minute prepared statement on the topic, but he had only 6 minutes so they wouldn't let him read it. The Hill reported: "Gen. David Petraeus, the head of U.S. Central Command, said Tuesday that the time has come to consider changing the controversial law barring openly gay from people serving in the U.S. military."
GEN. PETRAEUS: I'm not sure that they do. We'll see. Again, that's why this review panel. You know, all we have are, are personal soundings to go on, and I've certainly done some of that myself. I mean, you've heard General Powell, who was the chairman when the policy was implemented, had a big hand in that, who said that, yes indeed, the earth has revolved around the sun a number of times since that period 15 months ago. And you've heard a variety of anecdotal input. We have experienced, certainly, in the CIA and the FBI, I know. I served in fact in combat with individuals who were gay and who were lesbian in combat situations and, frankly, you know, over time you said, "Hey, how's, how's this guy's shooting?" Or "How is her analysis," or what have you. So--but we'll see. Again, that's the importance of this review that will be conducted by General Hamm and also by the DOD general counsel. I think it is hugely important that we have the answers from the questions that they'll be asking in a very methodical way, something we've not done before because of the emotion and the sensitivity of this issue.
OMG!! Patreaus is a TRAITOR if he thinks this should be lifted!!