Current Sense Amplifier Potentials
Based on your description, it seems like you mean that you want to implement something like the circuit below. This is essentially the same circuit, using your switch mode inverter as a virtual ground. As long as  \$ V_{s+} - V_{s-} \$ is less than 22V (the rated supply voltage of your current sense amplifier) there is nothing wrong with this circuit (or really, anything different from the application diagram from the datasheet that you posted). 







simulate this circuit &ndash; Schematic created using CircuitLab

Note that if you want to connect the output of this current sensor to something else, it will also need to be referenced to \$ V_{s-}\$.