Preheat your grill or grill pan to medium-high heat.
Pat the chicken breast dry and rub with olive oil, sea salt, black pepper, and ground cumin.
Place the chicken on the grill and cook for 6 to 7 minutes per side, or until the internal temperature reaches 165°F.
While the chicken is grilling, finely dice the peach, red onion, and jalapeño.
In a small bowl, toss together the diced peach, onion, jalapeño, chopped cilantro, and lime juice to create the salsa.
Remove the chicken from the grill and let it rest for 5 minutes to keep the juices intact.
Slice the chicken and serve it over a fresh bed of baby arugula, topping it generously with the peach salsa.