Step 1: Prepare the Chicken and Vegetables - Pat the chicken thighs dry, dice the onion, roughly chop the carrots, and halve the baby potatoes. Try to keep the potato pieces close to the same size so they finish cooking together. I usually leave the potato skins on because they add texture, save time, and help the pieces hold their shape. This is also a good moment to mince the garlic and set out the seasonings so you are not searching through the spice cabinet with chicken on your hands.
Step 2: Load the Slow Cooker - Place the chicken thighs in the slow cooker, then add the onion, carrots, baby potatoes, thyme, paprika, salt, black pepper, garlic, and chicken broth. Give everything a careful stir so the seasonings are distributed and the vegetables are nestled into the liquid. Do not worry if the broth does not completely cover every ingredient. The chicken and vegetables will release more moisture as they cook, and the covered slow cooker will hold that steam inside.
Step 3: Cook Until the Chicken Is Tender - Cover the slow cooker and cook on Low for 6 hours or on High for 3 hours. Low is my first choice when the day allows it because the chicken becomes especially tender and the flavors have more time to settle together. High is the practical option when the afternoon gets away from you. Either way, keep the lid closed as much as possible so the cooker holds a steady temperature and does not lose the steam doing the work.
Step 4: Gently Stir the Pot - About 1 hour before the cooking time is complete, remove the lid and give everything a gentle stir. Move the potatoes and carrots carefully so they do not break apart, and turn any chicken pieces that are sitting above the liquid. At this point, the broth should smell deeply savory and the chicken should be well on its way to fork tender. Replace the lid while you prepare the creamy thickener.
Step 5: Whisk the Cream Mixture - In a small bowl, whisk the cornstarch and cold heavy cream until completely smooth. Take a few extra seconds here and press out any small pockets of cornstarch with the whisk. Pour the mixture into the slow cooker in a slow stream while gently stirring the broth. Mixing the cornstarch with cold cream first helps it disperse evenly, which gives you a silky sauce instead of little white lumps hiding between the potatoes.
Step 6: Finish the Creamy Sauce - Cover the slow cooker again and continue cooking for the remaining hour, until the sauce has thickened and the chicken is tender. Give the dish one final gentle stir, then taste the sauce and add a little more salt or black pepper if needed. Sprinkle chopped parsley over the top just before serving. I like to bring the slow cooker right to the table, because there is something comforting about letting everyone spoon out exactly the piece of chicken and number of potatoes they want.