Season chicken breasts on both sides with salt and black pepper.
Heat olive oil in a large skillet over medium-high heat.
Add chicken to the skillet and sear for 6 to 8 minutes per side, or until the internal temperature reaches 165 degrees Fahrenheit. Remove chicken and transfer to a plate.
Reduce skillet heat to medium. Add minced garlic, grated ginger, and minced jalapenos to the residual oil and sauté for 1 minute until fragrant.
Whisk in peach preserves, apple cider vinegar, soy sauce, and lime juice. Stir constantly until the preserves melt and the sauce begins to simmer.
Simmer the glaze for 3 to 5 minutes until it thickens slightly and coats the back of a spoon.
Return the chicken to the skillet. Spoon the glaze over the breasts and cook for an additional 2 minutes to incorporate.
Remove from heat, garnish with fresh chopped cilantro, and serve immediately.