Midrand police referred queries to the provincial police, who were not available for comment.
Publicist Sheila Afari said Chana was shot and wounded at Caltex garage on New Road in Midrand.
"Police opened fire on Khuli Chana's vehicle with intent to kill, apparently mistaking him for a kidnapper in the early hours of this morning [Monday]... Khuli Chana is lucky to be alive after the excessive lethal force used," a statement said.
Chana, whose real name is Khulane Morule, was reportedly alone at the time of the shooting.
The former Mahikeng resident received a message of support from North West premier Thandi Modise wishing him a speedy recovery.
"We hope that the circumstances surrounding the incident will be investigated. Chana is an inspiration to the people of the North West... he represents excellence in the field of the arts."