Place the cut up pork in a bowl and sprinkle with the salt. Mix thoroughly.
Add the olive oil to a soup pot or Dutch oven on medium-high heat.
Once the olive is hot and shimmers add the pork and allow it to sear. Don't flip the pork chunks or move them around until they have developed a nice brown sear on one side.
When both sides are seared, add the onion and garlic. Cotinue to cook until the onion is soft and translucent.
Add the chicken stock and salsa verde to the pot. Stir until combined.
Turn the heat to low and simmer covered for 1 hour.
Add the roasted green chiles. Cover and simmer for 1 additional hour or until the pork is very tender. Check the pork with a fork for tenderness.
Check the salt level once the pork is tender and add some fresh lime juice.
Serve over rice or wrapped some in warm tortillas.