Drain the artichoke hearts and slice them in half lengthwise. Also, finely chop the shallot.
Pat dry the chicken breasts, then evenly slice them in half lengthwise or pound them thin. Season both sides of the chicken with Italian seasoning, salt, and pepper.
Heat a large skillet over medium heat and add half of the olive oil. Add the chicken and cook for 4-5 minutes per side, until golden and cooked through, when the internal temperature reaches 165°F.
Once done, remove the chicken from the skillet and place it on a cutting board. Set aside.
Add the remaining olive oil to the same skillet. Cook the chopped shallots for 2-3 minutes until softened, then add the crushed garlic and sauté for about 30 seconds until fragrant.
Pour the lemon juice and chicken broth into the pan, scraping up the browned bits from the bottom of the pan.
Add the artichoke hearts and pitted olives, then return the chicken to the skillet. Simmer on low for 3-5 minutes until everything is warmed through and the flavors come together.
Top with crumbled feta cheese and fresh parsley, if desired, and serve warm.