Add chicken thighs to the slow cooker. Pour chili sauce and apricot preserves over the chicken.
Cover the slow cooker and cook on low for 6 hours.
Transfer the chicken to a cutting board, and shred apart with two forks. Return the shredded chicken to the slow cooker. Stir in the cream cheese until it has melted and blends in with the sauce.
Serve the chicken and sauce on the toasted buns to create 6 sandwiches.