Preheat your oven to 375°F (190°C). This step is crucial for achieving that golden brown exterior while ensuring the chicken is cooked through perfectly.

Flatten the chicken breasts with a meat mallet. Aim for an even thickness of about 1/2 inch, which helps them cook evenly and makes rolling easier.

Spread a layer of Dijon mustard on each chicken breast. This tangy flavor will seep into the chicken, enhancing every bite with its deliciousness.

Layer slices of ham and Swiss cheese on top of the mustard layer. Distribute them evenly to ensure that every roll has a taste of both savory ham and melty cheese.

Roll the chicken breasts tightly and secure with toothpicks. This will help retain the filling and keep everything intact while baking, so roll them snugly!

Spread cream cheese over the outside of the chicken rolls. This luscious layer will create a creamy crust that bakes to perfection, adding richness to your dish.

Bake in the preheated oven for 30 minutes or until the chicken is cooked through and the juices run clear. Trust your nose; you'll know when they're done!

Remove toothpicks before serving. This little step ensures your guests can enjoy without any interruptions in their delicious experience!