Heat oil in large skillet. Add chicken tenders, cook until no longer pink and meat thermometer reaches 165 degrees F.
Reduce heat to low, add tomato vodka sauce. Cook an additional 2 minutes until sauce is heated, turning chicken once.
To assemble wrap: In center of warm wrap place 1/4 cup arugula. Top with 2 chicken tenders (spooning small amount of sauce over chicken), 2 tsp mozzarella, 1 Tbsp parmesan and 1 tsp basil.
Fold two ends toward center and roll; cut in half. Repeat with remaining wraps and ingredients.