Combine the marinade ingredients and marinate pork in fridge for at least one hour.
Preheat oven to 400 degrees.
Remove pork from marinade and season with salt and freshly ground pepper.
On medium-high heat, sear the pork on all sides in an oven-safe pan, about 2-3 minutes per side. You may have to use a fork to hold the pork on its side to sear.
Once the pork is seared, insert an oven-safe thermometer and place in the preheated oven.
When the internal temperature reaches 145 degrees, remove the pork from the oven and let it rest for at least three minutes before cutting. Slice the pork in thin strips for the pita sandwiches, or you can also slice and enjoy on a nice salad.