In a large mixing bowl, combine the softened cream cheese, shredded cheddar cheese, cooked bacon, green onions, and ranch seasoning mix. Mix until well blended.
Fold in the shredded chicken and mix until everything is evenly combined.
Lay out a flour tortilla and spread a thin, even layer of the chicken mixture across the surface. Leave about 1/2 inch of space around the edges.
Start at one end and roll the tortilla tightly into a log shape. Repeat with the remaining tortillas.
Wrap each roll in plastic wrap and refrigerate for at least 30 minutes to help them firm up.
Using a sharp knife, cut the rolls into 1-inch slices and arrange them on a serving platter.