How to select the equivalent coupled inductor to a flyback transformer?
Looking at the table: -



I note that the series column of the saturation current is exactly half of the saturation current for the parallel configuration. This gives me a good feeling about the data sheet.

In a fly-back transformer only one winding is activated at once so, given that saturation is governed by ampere-turns and only half the turns are involved in a fly-back device you can infer saturation levels from the parallel rating.

Inductance in parallel is normally one-quarter that of series wound coils on the same core and it looks like this is true of these inductors so, if the series inductance states 8.8 uH, one winding will be 2.2 uH - remember that two parallel windings (closely coupled) have exactly the same inductance as a single winding with the same turns.

RMS current for a winding has to be limited by the series column so if it says 6.23 amps then it's going to be that value for one winding too BUT some investigation into how much the core warms might allow you to increase this by (say) 1.5 times.

DC resistance should be obvious now.