Preheat grill or grill pan over medium-high heat.
Rub chicken breasts all over with olive oil and lemon juice. Sprinkle salt, pepper, and garlic powder evenly over both sides of the chicken breasts and press gently to adhere.
Place chicken on grill or grill pan and cook for about 6-7 minutes on each side, or until internal temperature reaches 165 degrees and the chicken has nice grill marks.
Remove chicken from the heat and let rest for a few minutes before slicing into strips.
Add lettuce and croutons to a large bowl and top with sliced chicken. Pour dressing over the top and toss to combine ingredients.
Lay a wrap on a flat surface and spoon about 1 ½ cups of the salad into the center of the wrap. Top with parmesan shavings.
Fold the left and right sides of the wrap towards the center. Fold the bottom edge of the wrap up over the filling. Now, roll the wrap from the bottom, keeping it as tight as possible without tearing it. Continue rolling until you reach the top edge. Slice in half and serve.