If I have the following power spectral density of the quantization error can I tell that quantization noise is approximately white? Can you please provide some justification?

If I have the following power spectral density of the quantization error can I tell that quantization noise is approximately white? Can you please provide some justification?

It depends on your band-width of interest. If your band-width of interest is very very small than the bandwidth of quantization-noise then you may say that noise is white.