In a manual transmission car, the transmission control is generally called the "stick shift". What is it called in an automatic car?
As per the other answers, it is called the gear lever, selector, knob, etc...
If you are trying to find the name of the manual shifting in automatic, then the portmanteau term is "Manumatic". However, I have mostly heard it as TipTronic, S-Tronic, E-Shift and SportShift trademarks from different manufacturers.