The City Planning and Zoning Commission shall not approve any plat of any subdivision within any area where a petition or ordinance for annexation or a recommendation for annexation to the City is pending before the City Council.

In the event the City Planning and Zoning Commission holds a hearing on proposed annexation, it may, at its discretion, at the same time hold a hearing upon the permanent zoning that is to be given to the area or tract to be annexed, and make a recommendation on both matters to the City Council so that the City Council can, if it desires, act on the matter of permanent zoning and annexation at the same time.