Cut chicken across into 1/2-inch slices. Combine oil, oregano, thyme, lemon peel and juice, salt and pepper in a medium bowl. Add chicken and toss to thoroughly coat.
Combine asparagus, pea pods, artichoke hearts, tomatoes and parsley in a large bowl and set aside.
Tear 4 20x2 inch pieces of parchment, fold in half crosswise, crease, open up again, and arrange 1/4 vegetable mixture on paper. Top with 1/4 of chicken and 1/4 of the green onions. Now make into a little package by folding the parchment over so the corners match up and crimping and folding the edges over. Twist corners to secure. Repeat 3 more times so you have 4 packets.
Place 2 packets on a baking sheet and bake at 400 degrees for 20 minutes or until chicken is done.