A method for driving a liquid crystal panel, a method for testing flicker and a liquid crystal display apparatus are disclosed. They relate to the technical field of liquid crystal display. By changing the driving mode of polarity inversion, it is achieved that the flicker test is performed on the liquid crystal panel with the Z inversion array arrangement on basis of the flicker test pattern of 1+2H. In two adjacent columns of pixel units in the plurality of pixel units, one column common data line is connected with the pixel electrodes located at the opposed sides of the common data line alternatively through the thin film transistors. The method for driving the liquid crystal panel comprises: applying the data line driving signals with opposed polarities to the odd columns of data lines and the even columns of data lines within one frame of picture, wherein the polarities of the data line driving signals are inversed, each time two rows of the gate lines have been scanned, to form a specific polarity arrangement, the initial data line driving signals for two adjacent frames of pictures have opposed polarities.