Add 1 tsp butter to frying pan on medium-high heat. Add slices of ham and cook until crispy, flipping occasionally. Set cooked ham slices aside on a paper towel.
Spread one side of each slice of bread with 1 teaspoon butter.
Using the same pan the ham was fried in, place one slice of bread, butter side down, on the skillet set to medium-high heat.
Layer slices of cheese and ham.
Place another slice of bread butter side up on the sandwich. Flip once the first slice of bread is golden brown and continue cooking until the second side is golden brown and cheese is melted.