Three width-of-fabric strips sewn together, 1/4 inch pressed over

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Pin the binding around the sleeve and mark with a pin where the ends will be sewn

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Sew the binding and you end up with a circle like this

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Slip the cuff onto the sleeve, right side of cuff facing the wrong side of the sleeve. Raw edges together, creased edge away from the opening

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I sewed inside the circle, rather than trying to slide the sleeve onto my machine. After stitching the raw edges together, I flipped the pressed edge to the patchwork side and zig zagged it down to match my patchwork pieces

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Here's how it looks when finished

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