Season the chicken breast evenly on both sides with sea salt, black pepper, and dried oregano.
Heat a non-stick skillet over medium-high heat and cook the chicken for 6 to 7 minutes per side until golden brown and the internal temperature reaches 165°F.
While the chicken is cooking, slice the cherry tomatoes in half and rinse the canned chickpeas under cold water.
In a large mixing bowl, whisk together the extra virgin olive oil and fresh lemon juice to create a simple vinaigrette.
Add the arugula, halved cherry tomatoes, and chickpeas to the bowl, tossing gently to ensure every leaf is lightly coated in the dressing.
Once the chicken is cooked, let it rest for 3 minutes before slicing it into thin strips.
Transfer the arugula mixture to a plate, top with the sliced chicken, and finish by crumbling the feta cheese over the top.