Originally Posted by flyerCO

You can leave it blank. Most people today want direct deposit and some countries no longer process checks.

PS Since it's a DL flight the claim should be with DL, not AF.

Originally Posted by MADPhil

If it's a European form then that may be the only payment option. It's the most common, and sometimes the only, way of making such payments. People seem to be much less paranoid about it there (I do it myself). However, as flyerCO points out, your claim is with DL.