Let the turkey sit at room temperature for 30 minutes before roasting. Preheat the oven to 250°F.
While turkey is resting, mix together the salt, paprika, pepper, garlic powder, and thyme in a small bowl.Pat the turkey breast dry with paper towels, then coat both sides with the spices.
Heat the oil in a large ovenproof skillet over medium-high heat. Add the turkey and sear until golden brown on all sides, 6 minutes total.
Transfer the skillet to the oven and roast the turkey, flipping once, until an instant-read thermometer registers 155°F (or juices run clear when you poke the turkey breast with a knife), 55 to 60 minutes.
Transfer to a cutting board, reserving any juices in the skillet. Let the turkey rest at least 30 minutes, then thinly slice turkey with a serrated knife for that deli effect. Drizzle any pan juices on top of the turkey before serving.