Pat the chicken breasts dry with paper towels and season both sides with salt, pepper, oregano, and thyme.
Set your Instant Pot to 'Sauté' mode. Once hot, add the olive oil and minced garlic. Sauté for about 1 minute until fragrant, being careful not to burn the garlic.
Add the seasoned chicken breasts to the pot and sear them for 2-3 minutes on each side until browned.
Pour in the lemon juice, zest, and chicken broth. Use a wooden spoon to scrape any browned bits off the bottom of the pot.
Close the lid of the Instant Pot, ensuring the valve is set to 'Sealing.' Select 'Pressure Cook' on high for 8 minutes.
Once the cooking time is complete, allow a natural pressure release for 5 minutes, then switch the valve to 'Venting' to release any remaining steam.
Open the lid and check the internal temperature of the chicken to ensure it has reached 165°F. Remove the chicken from the pot and let it rest for a few minutes.
Optional: You can thicken the sauce in the Instant Pot by setting the pot back to 'Sauté' mode and simmering for a few minutes. Stir frequently.
Slice the chicken and serve it drizzled with the cooking liquid, garnished with fresh parsley.