In bowl large enough to fit salmon, combine the oregano, olive oil, salt, pepper, lemon zest, and lemon juice. Stir thoroughly.
Toss salmon and vegetables in marinade and let marinate for 30 minutes in refrigerator.
After 30 minutes, place salmon and vegetables onto 2-4 skewers, depending on the size of your skewers.
If using wooden skewers, make sure to soak them prior to use.
Heat grill to medium-high heat.
Place skewers on grill and let cook for 5-6 minutes.
Brush with more marinade if you have some.
Turn over and cook another 4-5 minutes.
Enjoy!