Does the Urban Management Administrative Law Enforcement Brigade have the right to deal with illegal vehicles?

According to the traffic safety law, illegal parking should be accepted by the traffic police department! However, at present, many cities authorize urban management law enforcement departments to park or drive cars on the bridge deck or sidewalks within the scope of urban roads, and are ordered to make corrections within a time limit and may be fined. It can also be understood that the road belongs to the traffic police and the sidewalk belongs to the urban management!