John Hannah stars as DI Jack Cloth, partnered by DC Anne Oldman (Suranne Jones), in the series which starts later this month on Sky1.
The trailer finds the pair investigating a murder on the rundown Peter Andre House council estate.
Brooker previously told Digital Spy that the show is "just Airplane-style daftness".
"The inspiration there was just to entertain," he explained.
"I co-wrote the pilot in 2003, something like that. Then we adapted it and changed it a lot. So that's always been something that I've wanted to do - something just daft."
After A Touch of Cloth, Brooker's anthology series Black Mirror will return for a second run in 2013.
Watch Charlie Brooker chat to Digital Spy about his favourite shows below: