Begin by preparing your components. Dice the tomatoes and allow them to rest on a layer of paper towels to wick away moisture. Peel and chop the boiled eggs, then thinly slice the green onions.
In a spacious mixing bowl, combine the drained tomato pieces, chopped eggs, and sliced green onions. Stir gently to distribute evenly.
Add the mayonnaise to the bowl, folding it into the mixture until the ingredients are uniformly coated. Season with salt and freshly ground pepper to suit your preference.
Right before serving, incorporate the crushed crackers. Fold them in delicately to preserve some crunch and avoid excessive softening.
Serve the salad immediately, garnished with chopped parsley or additional green onions if desired, for optimal texture and flavor.