The Bantams currently sit eighth on the League One table, just two points off the top six, and the Australian defender is hoping he can be a major part of manager Phil Parkinson's team that strives for back-to-back promotions after getting out of League Two via the playoffs last term.
"We've had a good 18 months so far," Meredith told au.fourfourtwo.com.
"We had the League Cup final last season, obviously we got smashed in the final, but it was a good achievement to get there for a League Two club, and then we got promoted through the playoffs as well. Last season was a good season for us.
"I think a lot of teams expected us to be towards the bottom (of League One this season) but we're a good team.
"We've got some good players and I knew myself when we made that step up teams we were playing against, better teams and in bigger occasions with better facilities, that the team would just step up to the plate and do well.
"The aim is to get in those playoffs and in that top six and try and get promoted. I think we're good enough to do that. I think the big teams like Wolves and potentially like Leyton Orient will go up automatically."
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