The Bantams were able to secure all three points as a James Vaughan header, which was credited as a Liam Kinsella own goal, proved to be more than enough of an advantage as the mis-firing Saddlers slumped to a disappointing defeat.
The result sees the Saddlers remain 21st in Sky Bet League Two with six points to their name, just three points above bottom-of-the-table Stevenage, and extends their winless run to eight games in all-competitions.
Perhaps more worrying at this stage of the season is the Saddlers' lack of goals as the 'Boys from the Bescot' have netted just once in their last six league outings, putting them amongst some of the worst sides in the country.
Mansfield-born Clarke, who has been pulling no punches in his recent interviews, once again admitted that his team has to work harder in order to turn their season around, but went on to insist that its not all bad news as they aren't being turned over by teams but have to endeavour to do more in the final third.
Speaking to the assembled media, Clarke said; "It’s there for all to see. We’ve worked the ball into good areas of the pitch and haven’t taken care of it in the final third, yet again.
"Thoroughly disappointed, but we have to keep going. To be fair to Bradford the front two are a handful, but they only really caused us problems with set pieces and long throws, we’ve worked the ball well into areas but like I say, not taken care of it, and not taken responsibility enough in the final third.
"I think we were too quick to try and find a pass. Go and get your shot away, get on the front foot, you don’t want your players losing that belief.
"We worked a few moves, keeper’s pulled off a few saves, but another one of those days I’m afraid. The majority of most of the games we’ve been the better team but at the end of the day games are won in both boxes, and we’re not doing it well enough in the opposing box.
"We worked the ball into areas where they should be saving it a lot more, so we need to get back into work, if you’re here at the game effort, commitment, desire, they’re all to see."