Place the roughly chopped red bell pepper, chopped parsley, tomato paste, and olive oil into a mini food processor and blitz to a smoothish paste; alternatively grate the pepper and mix with the other ingredients.
Put the ground chicken into a large mixing bowl and add the pepper-parsley paste.
Add paprika, salt, ground cumin, ground coriander, ground sumac, smoked paprika, red pepper flakes, and dried oregano to the bowl.
Use your hands to mix the spices and pepper mixture thoroughly into the chicken until evenly combined.
With wet hands, take portions of the mixture and form each into a sausage shape; thread onto kebab skewers or mold around flat metal skewers if using traditional ones.
Cook the kebabs on a preheated grill or in a heavy-based skillet or griddle for about 4–5 minutes per side, until cooked through and browned.