Julienne the carrots thinly.
Mix the julienned carrots with olive oil, lemon juice, salt, pepper, and chopped parsley to make carrot râpée.
Cut the bread in half and toast it if desired.
Spread mustard or mayonnaise on one side of the bread.
Layer carrot râpée, cheese, ham, and leafy greens on top of the bread.
Cover with the other slice of bread to complete the sandwich.