Quartz is not specifically named, and the exact formulation and pH are unstated. As a surfactant-based grease cleaner, normal brief use is reasonably compatible with quartz, but residue or finish-related sensitivity is possible.
Why
Dawn approves use on counters and does not prohibit quartz. The product is intended for grease and food residue, with no stated abrasive or strongly acidic chemistry.
What to do
Use briefly on a small area first, wipe thoroughly, and rinse with clean water. Avoid prolonged dwell, aggressive scrubbing, and use on painted, varnished, or coated finishes.
pH
Not stated
Relevant chemistry
Spray-activated suds with cleaning boosters; grease and food-residue cleaner. Exact formulation and pH not stated.