Add all ingredients except the parsley to the crock of a 6-quart or larger slow cooker.
Adjust the lid and turn the cooker to low for 8 to 10 hours.
Turn off the slow cooker, add the parsley (do NOT stir), and let rest for 30 minutes.
Using a mesh sieve or a fine slotted spoon, carefully remove the chicken and chunks from the pot, pulling out and discarding bones and lemon chunks (squeeze the juice out first) and shredding chicken meat as you go; transfer to a large bowl or container as you do this. Keep in mind that you may possibly miss some smaller bones, so keep an eye as you eat it.