Wanderers have not won a league game all season and remain level on points with Millwall, with a slightly better goal difference meaning they move up to second bottom.
But Freedman is not concerned with the Trotters' current position and hopes that a much-needed victory can help spur them on.
He said: "Have we given up on automatic promotion? We'll never give up. Anything can happen in professional sport.
"Obviously we're disappointed with the result. To concede a goal after seven minutes was disappointing but we didn't have too many clear opportunities and that's the biggest disappointment.
"Leeds are a very experienced side and they held on well but we didn't hit the target enough.
"I'm certainly not worried because this is professional sport. You have your ups and downs but we've really got to start games better.
"We showed that we've got the players at the top end who are able to play well in this division. We created enough chances to make things happen and for some reason they just didn't.
"The players need to remain strong to get out of this. I think we just need that first win to get ourselves going.
"You need to fight for everything you get in this division which Leeds did and I believe that once we do there we'll start to really get going."
Leeds manager Brian McDermott declared he was delighted with his side's performance after they bounced back from their defeat against QPR.
The result sees United climb into the play-off places as they continued their unbeaten start away from home.
McDermott said: "To come away and win 1-0 at Bolton is a great result.
"We're trying to get a group together that's difficult to play against but also we're trying to get a group that can control games better with the ball.
"We've been working at our set plays because they've been really important to us and it was a great delivery and a really good header from Luke (Varney)."
McDermott's now faces a trip to his former club Reading on Wednesday for the first time since his sacking last season.
He added: "I really don't know what to expect. I know I did my best when I was there and I had a good time at Reading.
"I was there a long time and only me and Steve Coppell have taken Reading into the Premier League, so I take great pride in that and I look forward to going back there."