Trim any fat from the chicken thighs and cut them into 1-inch pieces.
Add the flour and salt to a sealable plastic bag. Add the chicken to the bag, press out any air then seal the bag shut. Shake the bag until the chicken pieces are coated on all sides.
In a shallow dish, whisk together the eggs.
Add the breadcrumbs to a second shallow dish.
Remove each piece of chicken from the bag and shake off any excess flour. Dip the chicken in the eggs, shake off any excess, then dip it in the breadcrumbs, pressing to coat the chicken on all sides. Repeat the coating process with all of the chicken pieces.
Add 2 inches of vegetable oil to a large heavy-bottomed stock pot set over medium heat. Line a baking sheet with paper towels.
Once the oil reaches 360°F, add a portion of the chicken to the oil and stir once. Cook the chicken, stirring occasionally, until it is golden brown, about 2 minutes. Using a slotted spoon, transfer the chicken onto the baking sheet then repeat the frying process with the remaining pieces of chicken, returning the oil to 360°F between each batch. Set the cooked chicken aside while you make the sauce.