Season both sides of the chicken thighs with salt and ground black pepper.
In a small bowl, whisk together the honey, Dijon mustard, soy sauce, and chicken broth until smooth.
Set the Instant Pot to Sauté and heat the olive oil. When hot, add the chicken thighs skin-side down and sear until golden brown, then flip to brown the other side, about 2–3 minutes per side.
Add the minced garlic to the pot, then pour in the honey mustard mixture, scraping up any browned bits from the bottom.
Secure the lid, set to Manual/High Pressure for 10 minutes, then perform a quick release when the cook time finishes.
Carefully remove the lid, stir in the chopped parsley, and if you prefer a thicker sauce, switch to Sauté and reduce the sauce for 1–2 minutes.
Serve the chicken with the sauce spooned over plain spaghetti or steamed rice.