In a small bowl, combine cream cheese, Italian seasoning, salt and garlic powder. Set aside.
Line a cookie sheet with aluminum foil. Working with just one square at a time, take 1/2 the layers of phyllo dough and lightly brush melted over them. Add one piece of chicken on top. Place two small spoonfuls of cream cheese mixture on top. Cover with remaining layers of phyllo dough from the appropriate square. Brush completely with melted butter. Repeat with remaining 5.
Bake at 350 degrees for about 20 minutes, until chicken is fully cooked and phyllo is golden brown.
In a small skillet, combine cherries, chicken stock and Italian seasoning. Bring to a boil and let boil until stock is reduced by half, about 8 minutes. Remove from heat and stir in sour cream. Drizzle over chicken to serve.