The 25-year-old opening batsman was suspended for nine months from state and international cricket over a plot to try and alter the ball with sandpaper during the third Test in Cape Town in March.
Then captain Steve Smith and his deputy David Warner were both banned for a year.
Under WA Premier Cricket rules, any Cricket Australia suspension is automatically extended to club ranks, unlike in New South Wales state where Smith and Warner are able to play while serving their bans.
At an extraordinary meeting of the 16 WA Premier Cricket clubs to discuss the issue on Monday evening, Bancroft was granted special dispensation to turn out for his club side Willetton.
“It was strongly debated across a number of areas, but ultimately approved. It’s great news for Cameron,” Western Australia Cricket Association chief executive Christina Matthews said.
Bancroft, who has played just eight Tests, begged for forgiveness in the aftermath of the tampering incident, saying it was something he would regret for the rest of his life.
As part of his punishment, he must also undertake 100 hours of voluntary service in community cricket.
New national coach Justin Langer has indicated he will be welcomed back into the team once his ban is served, if his form justifies selection. DM