Remove the outermost leaves from the cabbage and set them aside. Cut away the core, then thinly slice or shred the cabbage using a mandolin or with a sharp knife.
De-seed the jalapeno and finely dice it, then chop the cilantro and green onion. Add to the cabbage.
Cut the lime in half and squeeze the juice into the cabbage. Pour the olive oil in. Season with salt and pepper and toss to coat.
Peel and core the pineapple. Cut the pineapple into bite-sized pieces and set it aside.
Just before serving, mix the pineapple into the cabbage mixture. Season again to taste, if necessary.
Notes
Make-Ahead: If you make the pineapple slaw ahead of time, mix all the ingredients together, but keep the pineapple separate until just before serving. It keeps it from turning purple!Substitutions: Feel free to substitute any pre-made coleslaw mix for the red cabbage. To store leftovers: Transfer leftovers to an airtight container and store in the refrigerator for 3-4 days.