You love me in Salads, Subway Sandwiches and as a snack. My oil is one of the healthiest. In Greece I find the best climate to grow, who am I?

Olives are the correct answer. They are staples in Greek salads and sandwiches, and olive oil is renowned for its health benefits. Greece has an ideal Mediterranean climate for olive cultivation, and olives have been central to Greek cuisine and agriculture for millennia. Octopus and whale are not typically thought of for their oil in this context, and sunflowers don't have the Greek connection.