So I could not find my old bottle with regular (non-ODT) tablets of Zofran, but I know it comes in three formulations. Here is from GoodRX:

"For the tablet, swallow the tablets whole; don't crush, chew, or split them. If you're having trouble swallowing the tablets, ask your HCP about using the dissolvable tablet or the liquid.

For the dissolvable tablet (ODT), make sure your hands are dry before handling the medication. Peel off the foil backing, and remove the tablet from the blister card. Don't try to push the tablet through the foil; this can damage the medication. Place the tablet on the tongue to let it dissolve, and swallow with saliva.

For the liquid, use a medication dose cup or an oral syringe to measure your dose of ondansetron (Zofran). Ask your pharmacy to provide you with one if the product doesn't include it in its packaging or if you lose it. Don't use household spoons because they might not be accurate and might cause you to take the wrong dose. Store the oral suspension at room temperature."

So why not try regular tablets? I would think that using a dosing cup or an oral syringe would be much harder when you cannot control the actions of your hands; popping a tablet will be easier.