Spray a baking sheet with no sides with non-stick vegetable spray; roll dough into a 16"x12" rectangle. Spread sauce over dough; arrange cooked chicken strips on top. Sprinkle with shredded cheese.
Spray cold grill with non-stick vegetable spray; preheat grill to medium-low heat (275°-325°). Place baking sheet on grill; grill, covered, 3 minutes or until dough begins to set (no longer doughy). Slide dough onto grill and continue grilling, covered, 10 more minutes. Use baking sheet to remove pizza from grill; sprinkle with green onions. Slice into squares.