Season chicken breasts with salt and pepper.
Heat olive oil in skillet over medium heat.
Cook chicken for 6 minutes per side.
Remove chicken and let it rest completely.
Slice chicken into thin, even pieces.
Cut torta rolls in half horizontally.
Spread mayonnaise on both bread halves evenly.
Layer lettuce leaves on bottom half.
Add sliced chicken over the lettuce.
Place tomato slices on top carefully.
Add fresh avocado slices generously.
Squeeze lime juice over all ingredients.
Close sandwich with top bread half.