Ronny Deila's side trail 4-1 from the first leg after a comprehensive defeat in Poland and face a tough task to make it through to the final play-off qualifying stage of Europe's elite club competition.
But the Scottish champions can draw hope from last season's 3-0 home win against Shakhter Karagandy, which took them into the group stages after falling 2-0 behind in the first leg, and Brown is backing his teammates to emulate that great escape.
"It's going to be hard because we need three goals and we need to show them how good we are
But I believe we can do it," Brown said.
"The Shakhter game last season was huge for us - we scored three goals then and we have to do it again this week."
Brown will once again be sidelined due to a hamstring injury he sustained in pre-season and in his absence Celtic suffered a heavy defeat in the Polish capital after taking an early lead.
Defender Efe Ambrose was sent off in the first half and the result, defeat in the first competitive game under new Norwegian manager Deila, could have been much worse but for two missed penalties from the hosts.
The return leg will be played at Edinburgh's Murrayfield Stadium as work continues on Celtic Park following its use in the Commonwealth Games.
And Brown says the Celtic players will want to use the match to prove the critics who have written off their chances wrong.
"Everyone knows it was a disappointing result and it was hard to take but we've got a chance here to go and put it right and I'm sure we will," the midfielder said.
"The players have to stay positive
It's always difficult after a defeat like last week but the lads have been working hard since then, listening to the gaffer, watching videos and it's going to be a great game.
"We'll need our top players to play well, and I'm sure that's what they'll do.
"It always hurts when people write you off, but that's football
People always write you off.
"That's when you have to put the wrongs right and go out there and show everyone what you can do.
"You can prove a point to everyone out there on the field."
Source : AFP
Source: AFP